diff --git a/src/transformers/generation/utils.py b/src/transformers/generation/utils.py
index 45558bd22a4e..f0f7f2b0b6b5 100644
--- a/src/transformers/generation/utils.py
+++ b/src/transformers/generation/utils.py
@@ -381,9 +381,13 @@ def prepare_inputs_for_generation(
         # Exception 2: some generation methods do special slicing of input_ids, so we don't need to do it here
         # Exception 3: with synced GPUs cache_position may go out of bounds, but we only want dummy token in that case.
         #              (we can't check exception 3 while compiling)
+        # Excpetion 4: If input_embeds are passed then slice it through `cache_position`, to keep only the unprocessed tokens and
+        # generate the first token for each sequence. Later use the generated Input ids for continuation.
         if past_key_values is not None:
             model_inputs["past_key_values"] = past_key_values
-            if (
+            if inputs_embeds is not None and input_ids.shape[1] == 0:  # Exception 4
+                inputs_embeds = inputs_embeds[:, -cache_position.shape[0] :]
+            elif (
                 inputs_embeds is not None  # Exception 1
                 or (is_torchdynamo_compiling() or cache_position[-1] >= input_ids.shape[1])  # Exception 3
             ):
@@ -393,9 +397,9 @@ def prepare_inputs_for_generation(
 
         # 3. Prepare base model inputs
         input_ids_key = "decoder_input_ids" if self.config.is_encoder_decoder else "input_ids"
-        # if `inputs_embeds` are passed, we only want to use them in the 1st generation step
+        # if `inputs_embeds` are passed, we only want to use them in the 1st generation step for every prompt.
         if not self.config.is_encoder_decoder:
-            if inputs_embeds is not None and cache_position[0] == 0:
+            if inputs_embeds is not None and len(cache_position) == inputs_embeds.shape[1]:
                 model_inputs[input_ids_key] = None
                 model_inputs["inputs_embeds"] = inputs_embeds
             else:
diff --git a/src/transformers/models/bloom/modeling_bloom.py b/src/transformers/models/bloom/modeling_bloom.py
index 19ca679ad0df..9a03a793a613 100644
--- a/src/transformers/models/bloom/modeling_bloom.py
+++ b/src/transformers/models/bloom/modeling_bloom.py
@@ -895,8 +895,12 @@ def prepare_inputs_for_generation(
         # Exception 2: some generation methods do special slicing of input_ids, so we don't need to do it here
         # Exception 3: with synced GPUs cache_position may go out of bounds, but we only want dummy token in that case.
         #              (we can't check exception 3 while compiling)
+        # Exception 4: If input_embeds are passed then slice it through `cache_position`, to keep only the unprocessed tokens and
+        # generate the first token for each sequence. Later use the generated Input ids for continuation.
         if past_key_values is not None:
-            if (
+            if inputs_embeds is not None and input_ids.shape[1] == 0:  # Exception 4
+                inputs_embeds = inputs_embeds[:, -cache_position.shape[0] :]
+            elif (
                 inputs_embeds is not None  # Exception 1
                 or (is_torchdynamo_compiling() or cache_position[-1] >= input_ids.shape[1])  # Exception 3
             ):
@@ -905,7 +909,7 @@ def prepare_inputs_for_generation(
                 input_ids = input_ids[:, cache_position]
 
         # if `inputs_embeds` are passed, we only want to use them in the 1st generation step
-        if inputs_embeds is not None and cache_position[0] == 0:
+        if inputs_embeds is not None and len(cache_position) == inputs_embeds.shape[1]:
             model_inputs = {"inputs_embeds": inputs_embeds, "input_ids": None}
         else:
             # This `clone` call is needed to avoid recapturing cuda graphs with `torch.compile`'s  `mode="reduce-overhead`, as otherwise the
diff --git a/src/transformers/models/chameleon/modeling_chameleon.py b/src/transformers/models/chameleon/modeling_chameleon.py
index 1e088fcaba00..3bc6a43d6f56 100644
--- a/src/transformers/models/chameleon/modeling_chameleon.py
+++ b/src/transformers/models/chameleon/modeling_chameleon.py
@@ -1654,8 +1654,12 @@ def prepare_inputs_for_generation(
         # Exception 2: some generation methods do special slicing of input_ids, so we don't need to do it here
         # Exception 3: with synced GPUs cache_position may go out of bounds, but we only want dummy token in that case.
         #              (we can't check exception 3 while compiling)
+        # Exception 4: If input_embeds are passed then slice it through `cache_position`, to keep only the unprocessed tokens and
+        # generate the first token for each sequence. Later use the generated Input ids for continuation.
         if past_key_values is not None:
-            if (
+            if inputs_embeds is not None and input_ids.shape[1] == 0:  # Exception 4
+                inputs_embeds = inputs_embeds[:, -cache_position.shape[0] :]
+            elif (
                 inputs_embeds is not None  # Exception 1
                 or (is_torchdynamo_compiling() or cache_position[-1] >= input_ids.shape[1])  # Exception 3
             ):
@@ -1668,10 +1672,13 @@ def prepare_inputs_for_generation(
             position_ids = attention_mask.long().cumsum(-1) - 1
             position_ids.masked_fill_(attention_mask == 0, 1)
             if past_key_values:
-                position_ids = position_ids[:, -input_ids.shape[1] :]
+                if inputs_embeds is not None and input_ids.shape[1] == 0:
+                    position_ids = position_ids[:, -inputs_embeds.shape[1] :]
+                else:
+                    position_ids = position_ids[:, -input_ids.shape[1] :]
 
         # if `inputs_embeds` are passed, we only want to use them in the 1st generation step
-        if inputs_embeds is not None and cache_position[0] == 0:
+        if inputs_embeds is not None and len(cache_position) == inputs_embeds.shape[1]:
             model_inputs = {"inputs_embeds": inputs_embeds}
         else:
             model_inputs = {"input_ids": input_ids.contiguous()}  # `contiguous()` needed for compilation use cases
diff --git a/src/transformers/models/idefics/modeling_idefics.py b/src/transformers/models/idefics/modeling_idefics.py
index 4dbe4ad4c7f9..6857fb624c0f 100644
--- a/src/transformers/models/idefics/modeling_idefics.py
+++ b/src/transformers/models/idefics/modeling_idefics.py
@@ -1674,10 +1674,13 @@ def prepare_inputs_for_generation(
         else:
             model_inputs["pixel_values"] = pixel_values
 
-        # If we have cache: let's slice `input_ids` through `cache_position`, to keep only the unprocessed tokens
+        # If we have cache: let's slice `input_ids` or `input embeds` through `cache_position`, to keep only the unprocessed tokens
         if past_key_values is not None:
             if inputs_embeds is not None:
-                input_ids = input_ids[:, -cache_position.shape[0] :]
+                if input_ids.shape[1] == 0:
+                    inputs_embeds = inputs_embeds[:, -cache_position.shape[0] :]
+                else:
+                    input_ids = input_ids[:, -cache_position.shape[0] :]
             elif input_ids.shape[1] != cache_position.shape[0]:
                 input_ids = input_ids[:, cache_position]
                 if image_attention_mask is not None:
@@ -1687,14 +1690,19 @@ def prepare_inputs_for_generation(
             # create position_ids on the fly for batch generation
             position_ids = attention_mask.long().cumsum(-1) - 1
             position_ids.masked_fill_(attention_mask == 0, 1)
+
+            # If past_key_values are present then slice the postion ids for only only the unprocessed tokens.
             if past_key_values:
-                position_ids = position_ids[:, -input_ids.shape[1] :]
+                if inputs_embeds is not None and input_ids.shape[1] == 0:
+                    position_ids = position_ids[:, -inputs_embeds.shape[1] :]
+                else:
+                    position_ids = position_ids[:, -input_ids.shape[1] :]
 
                 # This `clone` call is needed to avoid recapturing cuda graphs with `torch.compile`'s  `mode="reduce-overhead`, as otherwise the input `position_ids` would have various stride during the decoding. Here, simply using `.contiguous()` is not sufficient as in the batch size = 1 case, `position_ids` is already contiguous but with varying stride which retriggers a capture.
                 position_ids = position_ids.clone(memory_format=torch.contiguous_format)
 
         # if `inputs_embeds` are passed, we only want to use them in the 1st generation step
-        if inputs_embeds is not None and cache_position[0] == 0:
+        if inputs_embeds is not None and len(cache_position) == inputs_embeds.shape[1]:
             model_inputs.update({"inputs_embeds": inputs_embeds, "input_ids": None})
         else:
             # The clone here is for the same reason as for `position_ids`.
diff --git a/src/transformers/models/moshi/modeling_moshi.py b/src/transformers/models/moshi/modeling_moshi.py
index 01d2ff1940fc..6bde89f9aab5 100644
--- a/src/transformers/models/moshi/modeling_moshi.py
+++ b/src/transformers/models/moshi/modeling_moshi.py
@@ -1901,8 +1901,7 @@ def forward(
 
 
 @add_start_docstrings(
-    "The original Moshi model with an audio encoder, a Moshi depth decoder and a Moshi decoder, "
-    "for speech-to-speech.",
+    "The original Moshi model with an audio encoder, a Moshi depth decoder and a Moshi decoder, for speech-to-speech.",
     MOSHI_START_DOCSTRING,
 )
 class MoshiForConditionalGeneration(MoshiPreTrainedModel, GenerationMixin):
@@ -2458,18 +2457,57 @@ def prepare_inputs_for_generation(
         blank_user_audio_codes: Optional[torch.FloatTensor] = None,
         **kwargs,
     ):
-        # Overwritten -- Moshi has custom post-processing
-        # 1. Do usual operations done on LLMs like Gemma - because we pre-processed inputs, the first pass always has inputs_embeds
-        model_inputs = super().prepare_inputs_for_generation(
-            input_ids=input_ids,
-            past_key_values=past_key_values,
-            attention_mask=attention_mask,
-            inputs_embeds=inputs_embeds,
-            cache_position=cache_position,
-            position_ids=position_ids,
-            use_cache=use_cache,
-            logits_to_keep=logits_to_keep,
-            **kwargs,
+        # Overwritten -- Moshi has custom post-processing on the prepared inputs.
+
+        # If we have cache: let's slice `input_ids` through `cache_position`, to keep only the unprocessed tokens
+        # Exception 1: when passing input_embeds, input_ids may be missing entries
+        # Exception 2: some generation methods do special slicing of input_ids, so we don't need to do it here
+        # Exception 3: with synced GPUs cache_position may go out of bounds, but we only want dummy token in that case.
+        # (we can't check exception 3 while compiling)
+
+        if past_key_values is not None:
+            if (
+                inputs_embeds is not None  # Exception 1
+                or (is_torchdynamo_compiling() or cache_position[-1] >= input_ids.shape[1])  # Exception 3
+            ):
+                input_ids = input_ids[:, -cache_position.shape[0] :]
+            elif input_ids.shape[1] != cache_position.shape[0]:  # Default case (the "else", a no op, is Exception 2)
+                input_ids = input_ids[:, cache_position]
+
+        # if `inputs_embeds` are passed, we only want to use them in the 1st generation step
+        if inputs_embeds is not None and cache_position[0] == 0:
+            model_inputs = {"inputs_embeds": inputs_embeds, "input_ids": None}
+        else:
+            model_inputs = {"input_ids": input_ids, "inputs_embeds": None}
+
+        if isinstance(past_key_values, StaticCache) and attention_mask.ndim == 2:
+            if model_inputs["inputs_embeds"] is not None:
+                batch_size, sequence_length, _ = inputs_embeds.shape
+                device = inputs_embeds.device
+            else:
+                batch_size, sequence_length = input_ids.shape
+                device = input_ids.device
+
+            attention_mask = self.model._prepare_4d_causal_attention_mask_with_cache_position(
+                attention_mask,
+                sequence_length=sequence_length,
+                target_length=past_key_values.get_max_cache_shape(),
+                dtype=self.lm_head.weight.dtype,
+                device=device,
+                cache_position=cache_position,
+                batch_size=batch_size,
+                config=self.config,
+                past_key_values=past_key_values,
+            )
+
+        model_inputs.update(
+            {
+                "position_ids": position_ids,
+                "past_key_values": past_key_values,
+                "use_cache": use_cache,
+                "attention_mask": attention_mask,
+                "cache_position": cache_position,
+            }
         )
 
         # 2. Now that everything is prepared, generate audio_codes using the depth decoder
diff --git a/src/transformers/models/qwen2_5_vl/modeling_qwen2_5_vl.py b/src/transformers/models/qwen2_5_vl/modeling_qwen2_5_vl.py
index 242622d293a2..82b112ad3665 100644
--- a/src/transformers/models/qwen2_5_vl/modeling_qwen2_5_vl.py
+++ b/src/transformers/models/qwen2_5_vl/modeling_qwen2_5_vl.py
@@ -1261,7 +1261,7 @@ def _update_causal_mask(
         if (
             self.config._attn_implementation == "sdpa"
             and attention_mask is not None
-            and attention_mask.device.type == "cuda"
+            and attention_mask.device.type in ["cuda", "xpu"]
             and not output_attentions
         ):
             # Attend to all tokens in fully masked rows in the causal_mask, for example the relevant first rows when
@@ -1872,8 +1872,12 @@ def prepare_inputs_for_generation(
         # Exception 2: some generation methods do special slicing of input_ids, so we don't need to do it here
         # Exception 3: with synced GPUs cache_position may go out of bounds, but we only want dummy token in that case.
         #              (we can't check exception 3 while compiling)
+        # Exception 4: If input_embeds are passed then slice it through `cache_position`, to keep only the unprocessed tokens and
+        # generate the first token for each sequence. Later use the generated Input ids for continuation.
         if past_key_values is not None:
-            if (
+            if inputs_embeds is not None and input_ids.shape[1] == 0:  # Exception 4
+                inputs_embeds = inputs_embeds[:, -cache_position.shape[0] :]
+            elif (
                 inputs_embeds is not None  # Exception 1
                 or (is_torchdynamo_compiling() or cache_position[-1] >= input_ids.shape[1])  # Exception 3
             ):
@@ -1886,7 +1890,7 @@ def prepare_inputs_for_generation(
             pixel_values_videos = None
 
         # if `inputs_embeds` are passed, we only want to use them in the 1st generation step
-        if inputs_embeds is not None and cache_position[0] == 0:
+        if inputs_embeds is not None and len(cache_position) == inputs_embeds.shape[1]:
             model_inputs = {"inputs_embeds": inputs_embeds, "input_ids": None}
         else:
             model_inputs = {"input_ids": input_ids, "inputs_embeds": None}
diff --git a/src/transformers/models/qwen2_5_vl/modular_qwen2_5_vl.py b/src/transformers/models/qwen2_5_vl/modular_qwen2_5_vl.py
index 87216988b717..601ad373771c 100644
--- a/src/transformers/models/qwen2_5_vl/modular_qwen2_5_vl.py
+++ b/src/transformers/models/qwen2_5_vl/modular_qwen2_5_vl.py
@@ -770,8 +770,12 @@ def prepare_inputs_for_generation(
         # Exception 2: some generation methods do special slicing of input_ids, so we don't need to do it here
         # Exception 3: with synced GPUs cache_position may go out of bounds, but we only want dummy token in that case.
         #              (we can't check exception 3 while compiling)
+        # Exception 4: If input_embeds are passed then slice it through `cache_position`, to keep only the unprocessed tokens and
+        # generate the first token for each sequence. Later use the generated Input ids for continuation.
         if past_key_values is not None:
-            if (
+            if inputs_embeds is not None and input_ids.shape[1] == 0:  # Exception 4
+                inputs_embeds = inputs_embeds[:, -cache_position.shape[0] :]
+            elif (
                 inputs_embeds is not None  # Exception 1
                 or (is_torchdynamo_compiling() or cache_position[-1] >= input_ids.shape[1])  # Exception 3
             ):
@@ -784,7 +788,7 @@ def prepare_inputs_for_generation(
             pixel_values_videos = None
 
         # if `inputs_embeds` are passed, we only want to use them in the 1st generation step
-        if inputs_embeds is not None and cache_position[0] == 0:
+        if inputs_embeds is not None and len(cache_position) == inputs_embeds.shape[1]:
             model_inputs = {"inputs_embeds": inputs_embeds, "input_ids": None}
         else:
             model_inputs = {"input_ids": input_ids, "inputs_embeds": None}
diff --git a/src/transformers/models/qwen2_vl/modeling_qwen2_vl.py b/src/transformers/models/qwen2_vl/modeling_qwen2_vl.py
index d94daa39a729..51d8fe9430b5 100644
--- a/src/transformers/models/qwen2_vl/modeling_qwen2_vl.py
+++ b/src/transformers/models/qwen2_vl/modeling_qwen2_vl.py
@@ -1735,8 +1735,12 @@ def prepare_inputs_for_generation(
         # Exception 2: some generation methods do special slicing of input_ids, so we don't need to do it here
         # Exception 3: with synced GPUs cache_position may go out of bounds, but we only want dummy token in that case.
         #              (we can't check exception 3 while compiling)
+        # Exception 4: If input_embeds are passed then slice it through `cache_position`, to keep only the unprocessed tokens and
+        # generate the first token for each sequence. Later use the generated Input ids for continuation.
         if past_key_values is not None:
-            if (
+            if inputs_embeds is not None and input_ids.shape[1] == 0:  # Exception 4
+                inputs_embeds = inputs_embeds[:, -cache_position.shape[0] :]
+            elif (
                 inputs_embeds is not None  # Exception 1
                 or (is_torchdynamo_compiling() or cache_position[-1] >= input_ids.shape[1])  # Exception 3
             ):
@@ -1749,7 +1753,7 @@ def prepare_inputs_for_generation(
             pixel_values_videos = None
 
         # if `inputs_embeds` are passed, we only want to use them in the 1st generation step
-        if inputs_embeds is not None and cache_position[0] == 0:
+        if inputs_embeds is not None and len(cache_position) == inputs_embeds.shape[1]:
             model_inputs = {"inputs_embeds": inputs_embeds, "input_ids": None}
         else:
             model_inputs = {"input_ids": input_ids, "inputs_embeds": None}
diff --git a/src/transformers/models/zamba2/modeling_zamba2.py b/src/transformers/models/zamba2/modeling_zamba2.py
index f2d7d21a743e..8f00780f341d 100644
--- a/src/transformers/models/zamba2/modeling_zamba2.py
+++ b/src/transformers/models/zamba2/modeling_zamba2.py
@@ -1557,7 +1557,7 @@ def _update_causal_mask(self, attention_mask, input_tensor, cache_position):
         if (
             self.config._attn_implementation == "sdpa"
             and attention_mask is not None
-            and attention_mask.device.type == "cuda"
+            and attention_mask.device.type in ["cuda", "xpu"]
         ):
             # Attend to all tokens in fully masked rows in the causal_mask, for example the relevant first rows when
             # using left padding. This is required by F.scaled_dot_product_attention memory-efficient attention path.
diff --git a/tests/generation/test_utils.py b/tests/generation/test_utils.py
index 321803a2179b..c7c8c7f8c108 100644
--- a/tests/generation/test_utils.py
+++ b/tests/generation/test_utils.py
@@ -1857,6 +1857,83 @@ def test_generate_continue_from_past_key_values(self):
                         )
                     )
 
+    @pytest.mark.generate
+    def test_generate_continue_from_inputs_embeds(self):
+        """Tests that we can continue generation from `inputs_embeds` and past key values returned from a previous `generate` call."""
+        for model_class in self.all_generative_model_classes:
+            if any(model_name in model_class.__name__.lower() for model_name in ["imagegpt"]):
+                self.skipTest(reason="Won't fix: old model with unique inputs/caches/other")
+            if any(model_name in model_class.__name__.lower() for model_name in ["umt5"]):
+                self.skipTest(reason="TODO: needs modeling or test input preparation fixes for compatibility")
+
+            config, inputs_dict = self.prepare_config_and_inputs_for_generate()
+
+            if "token_type_ids" in inputs_dict:
+                del inputs_dict["token_type_ids"]
+
+            if config.is_encoder_decoder:
+                self.skipTest(reason="This model is encoder-decoder")
+            if not hasattr(config, "use_cache"):
+                self.skipTest(reason=f"{model_class.__name__} doesn't support caching")
+
+            model = model_class(config).to(torch_device).eval()
+
+            if "inputs_embeds" not in inspect.signature(model.prepare_inputs_for_generation).parameters.keys():
+                self.skipTest(reason="This model does not support `inputs_embeds` in generation")
+
+            # If "past_key_values" is not returned, skip the test (e.g. RWKV uses a different cache name and format)
+            outputs = model(**inputs_dict)
+            if "past_key_values" not in outputs:
+                self.skipTest(reason="This model doesn't return `past_key_values`")
+
+            pixel_values_is_mutually_exclusive = any(
+                model_name in model_class.__name__.lower()
+                for model_name in ["llava", "idefics2", "idefics3", "mllama", "paligemma", "emu3"]
+            )
+            if pixel_values_is_mutually_exclusive:
+                inputs_dict.pop("pixel_values", None)
+                inputs_dict.pop("pixel_values_videos", None)
+                inputs_dict.pop("pixel_values_images", None)
+
+            input_ids = inputs_dict.pop("input_ids")
+
+            model.generation_config.pad_token_id = model.generation_config.eos_token_id = -1
+            model.generation_config.forced_eos_token_id = None
+            model.config.is_decoder = True
+            model.generation_config.use_cache = True
+
+            generation_kwargs = {
+                "return_dict_in_generate": True,
+                "do_sample": False,
+            }
+
+            # Traditional way of generating text, with `return_dict_in_generate` to return the past key values.
+            input_embeds = model.get_input_embeddings()(input_ids)
+            outputs = model.generate(inputs_embeds=input_embeds, max_new_tokens=4, **generation_kwargs)
+
+            # Let's generate again, but passing the past key values in between (3 + 1 = 4 tokens)
+            initial_output = model.generate(inputs_embeds=input_embeds, max_new_tokens=3, **generation_kwargs)
+            continued_embeds = torch.cat([input_embeds, model.get_input_embeddings()(initial_output.sequences)], dim=1)
+            cached_output = model.generate(
+                inputs_embeds=continued_embeds,
+                max_new_tokens=1,
+                past_key_values=initial_output.past_key_values,
+                **generation_kwargs,
+            )
+
+            # Combine the (3 + 1) generated tokens and verify it matches with full generation.
+            combined_output_sequences = torch.concat([initial_output.sequences, cached_output.sequences], axis=1)
+            self.assertListEqual(outputs.sequences.tolist(), combined_output_sequences.tolist())
+            # The two sets of past kv should be equal to each other
+            for layer_idx in range(len(cached_output.past_key_values)):
+                for kv_idx in range(len(cached_output.past_key_values[layer_idx])):
+                    self.assertTrue(
+                        torch.allclose(
+                            outputs.past_key_values[layer_idx][kv_idx],
+                            cached_output.past_key_values[layer_idx][kv_idx],
+                        )
+                    )
+
     @parameterized.expand([("offloaded",)])  # ("offloaded_static",) TODO: @raushan fixme in some models (eg T5)
     @require_torch_gpu
     @pytest.mark.generate
diff --git a/tests/models/clvp/test_modeling_clvp.py b/tests/models/clvp/test_modeling_clvp.py
index 84a0101f6f28..334f01004936 100644
--- a/tests/models/clvp/test_modeling_clvp.py
+++ b/tests/models/clvp/test_modeling_clvp.py
@@ -334,6 +334,10 @@ def test_training_gradient_checkpointing(self):
         loss = model(**inputs).loss
         loss.backward()
 
+    @unittest.skip(reason="Clvp `prepare_inputs_for_generation` function doesn't have cache position.")
+    def test_generate_continue_from_inputs_embeds(self):
+        pass
+
 
 class ClvpModelForConditionalGenerationTester:
     def __init__(self, parent, is_training=False):
diff --git a/tests/models/cohere2/test_modeling_cohere2.py b/tests/models/cohere2/test_modeling_cohere2.py
index 436f1f965e90..81ea53b49f88 100644
--- a/tests/models/cohere2/test_modeling_cohere2.py
+++ b/tests/models/cohere2/test_modeling_cohere2.py
@@ -131,6 +131,10 @@ def test_generate_with_static_cache(self):
     def test_generate_from_inputs_embeds_with_static_cache(self):
         pass
 
+    @unittest.skip("Cohere2 has HybridCache and doesn't support progressive generation using input embeds.")
+    def test_generate_continue_from_inputs_embeds(self):
+        pass
+
     # overwrite because HybridCache has fixed length for key/values
     def _check_attentions_for_generate(
         self, batch_size, attentions, min_length, max_length, config, use_cache=False, num_beam_groups=1
diff --git a/tests/models/fuyu/test_modeling_fuyu.py b/tests/models/fuyu/test_modeling_fuyu.py
index 0444ad14f269..634dfcf61565 100644
--- a/tests/models/fuyu/test_modeling_fuyu.py
+++ b/tests/models/fuyu/test_modeling_fuyu.py
@@ -325,6 +325,10 @@ def test_disk_offload_safetensors(self):
     def test_model_parallelism(self):
         super().test_model_parallelism()
 
+    @unittest.skip(reason="Fuyu `prepare_inputs_for_generation` function doesn't have cache position.")
+    def test_generate_continue_from_inputs_embeds():
+        pass
+
 
 @slow
 @require_torch_accelerator
diff --git a/tests/models/gemma2/test_modeling_gemma2.py b/tests/models/gemma2/test_modeling_gemma2.py
index 1fb7bdfa8994..a0563aed90cb 100644
--- a/tests/models/gemma2/test_modeling_gemma2.py
+++ b/tests/models/gemma2/test_modeling_gemma2.py
@@ -146,6 +146,10 @@ def test_generate_with_static_cache(self):
     def test_generate_from_inputs_embeds_with_static_cache(self):
         pass
 
+    @unittest.skip("Gemma2 has HybridCache and doesn't support StaticCache. Though it could, it shouldn't support.")
+    def test_generate_continue_from_inputs_embeds(self):
+        pass
+
     # overwrite because HybridCache has fixed length for key/values
     def _check_attentions_for_generate(
         self, batch_size, attentions, min_length, max_length, config, use_cache=False, num_beam_groups=1
diff --git a/tests/models/gpt_bigcode/test_modeling_gpt_bigcode.py b/tests/models/gpt_bigcode/test_modeling_gpt_bigcode.py
index 1ac2db408123..c854a7e71167 100644
--- a/tests/models/gpt_bigcode/test_modeling_gpt_bigcode.py
+++ b/tests/models/gpt_bigcode/test_modeling_gpt_bigcode.py
@@ -450,6 +450,10 @@ def test_disk_offload(self):
     def test_past_key_values_format(self):
         pass
 
+    @unittest.skip(reason="BigCodeGPT has a non-standard KV cache format and breaks this test.")
+    def test_generate_continue_from_inputs_embeds(self):
+        pass
+
     def test_gpt_bigcode_model(self):
         config_and_inputs = self.model_tester.prepare_config_and_inputs()
         self.model_tester.create_and_check_gpt_bigcode_model(*config_and_inputs)
diff --git a/tests/models/idefics/test_modeling_idefics.py b/tests/models/idefics/test_modeling_idefics.py
index 01871e81b30e..cc9efc967db2 100644
--- a/tests/models/idefics/test_modeling_idefics.py
+++ b/tests/models/idefics/test_modeling_idefics.py
@@ -755,6 +755,65 @@ def test_generate_without_input_ids(self):
             )
             self.assertIsNotNone(output_ids_generate)
 
+    @pytest.mark.generate
+    def test_generate_continue_from_inputs_embeds(self):
+        """Overwrite for IDEFICS: Ensure image attention mask is processed while continuing from `inputs_embeds`."""
+
+        for model_class in self.all_generative_model_classes:
+            config, inputs = self.model_tester.prepare_config_and_inputs_for_common()
+            print(inputs)
+
+            model = model_class(config).to(torch_device).eval()
+
+            model.generation_config.pad_token_id = model.generation_config.eos_token_id = -1
+            model.generation_config.forced_eos_token_id = None
+            model.generation_config.use_cache = True
+
+            input_ids = inputs.pop("input_ids")
+            input_embeds = model.get_input_embeddings()(input_ids)
+
+            generation_kwargs = {
+                "return_dict_in_generate": True,
+                "do_sample": False,
+            }
+
+            inputs["inputs_embeds"] = input_embeds
+
+            # Traditional way of generating text, with `return_dict_in_generate` to return the past key values
+            outputs = model.generate(**inputs, max_new_tokens=4, **generation_kwargs)
+            # Let's generate again, but passing the past key values in between (3 + 1 = 4 tokens). Note that the
+            # inputs may need to be tweaked across `generate` calls (like the attention mask).
+            initial_output = model.generate(**inputs, max_new_tokens=3, **generation_kwargs)
+            inputs["past_key_values"] = initial_output.past_key_values
+
+            new_attention_len = input_ids.shape[1] + initial_output.sequences.shape[-1]
+            continued_embeds = torch.cat([input_embeds, model.get_input_embeddings()(initial_output.sequences)], dim=1)
+            inputs["inputs_embeds"] = continued_embeds
+
+            if "attention_mask" in inputs:
+                inputs["attention_mask"] = torch.nn.functional.pad(
+                    inputs["attention_mask"],
+                    (0, new_attention_len - inputs["attention_mask"].shape[1]),
+                    mode="constant",
+                    value=1,
+                )
+            if "image_attention_mask" in inputs:
+                inputs["image_attention_mask"] = inputs["image_attention_mask"][..., -1:, :]
+
+            cached_output = model.generate(**inputs, max_new_tokens=1, **generation_kwargs)
+
+            # Verify that the combined outputs match the full generation.
+            combined_output_sequences = torch.concat([initial_output.sequences, cached_output.sequences], axis=1)
+            self.assertListEqual(outputs.sequences.tolist(), combined_output_sequences.tolist())
+            for layer_idx in range(len(cached_output.past_key_values)):
+                for kv_idx in range(len(cached_output.past_key_values[layer_idx])):
+                    self.assertTrue(
+                        torch.allclose(
+                            outputs.past_key_values[layer_idx][kv_idx],
+                            cached_output.past_key_values[layer_idx][kv_idx],
+                        )
+                    )
+
     def _check_attentions_for_generate(
         self, batch_size, attentions, min_length, max_length, config, use_cache=False, num_beam_groups=1
     ):
diff --git a/tests/models/moshi/test_modeling_moshi.py b/tests/models/moshi/test_modeling_moshi.py
index adaf0fcc34ac..09278f0d24c4 100644
--- a/tests/models/moshi/test_modeling_moshi.py
+++ b/tests/models/moshi/test_modeling_moshi.py
@@ -358,6 +358,10 @@ def test_disk_offload_bin(self):
     def test_disk_offload_safetensors(self):
         pass
 
+    @unittest.skip(reason="Test becomes too complex with Moshi requiring multiple input modalities.")
+    def test_generate_continue_from_inputs_embeds(self):
+        pass
+
     @is_flaky(max_attempts=5, description="flaky on some models.")
     def test_save_load(self):
         super().test_save_load()
@@ -824,6 +828,7 @@ def test_generate_without_input_ids(self):
             output_ids_generate = model.generate(
                 do_sample=False, max_new_tokens=self.max_new_tokens, remove_invalid_values=True
             )
+            print(output_ids_generate)
             self.assertIsNotNone(output_ids_generate)
 
     @unittest.skip(reason="The audio encoder has no gradients.")
@@ -919,6 +924,10 @@ def test_disk_offload_bin(self):
     def test_disk_offload_safetensors(self):
         pass
 
+    @unittest.skip(reason="Test becomes too complex with Moshi requiring multiple modalities")
+    def test_generate_continue_from_inputs_embeds(self):
+        pass
+
     @is_flaky(max_attempts=5, description="flaky on some models.")
     def test_save_load(self):
         super().test_save_load()
diff --git a/tests/models/zamba2/test_modeling_zamba2.py b/tests/models/zamba2/test_modeling_zamba2.py
index 2bd6732514c6..c876e598e867 100644
--- a/tests/models/zamba2/test_modeling_zamba2.py
+++ b/tests/models/zamba2/test_modeling_zamba2.py
@@ -333,6 +333,10 @@ def test_past_key_values_format(self):
         """
         pass
 
+    @unittest.skip(reason="Zamba2 has hybrid cache.")
+    def test_generate_continue_from_inputs_embeds(self):
+        pass
+
     @unittest.skip(reason="A large mamba2 would be necessary (and costly) for that")
     def test_multi_gpu_data_parallel_forward(self):
         pass