diff --git a/scripts/test-error-handler.js b/scripts/test-error-handler.js
index 6f3f5033f9..fdfbd60417 100644
--- a/scripts/test-error-handler.js
+++ b/scripts/test-error-handler.js
@@ -56,6 +56,7 @@ function runTest(name: string, code: string): boolean {
   let recover = code.includes("// recover-from-errors");
   let additionalFunctions = code.includes("// additional functions");
   let delayUnsupportedRequires = code.includes("// delay unsupported requires");
+  let abstractEffects = code.includes("// abstract effects");
 
   let expectedErrors = code.match(/\/\/\s*expected errors:\s*(.*)/);
   invariant(expectedErrors);
@@ -73,6 +74,7 @@ function runTest(name: string, code: string): boolean {
       errorHandler: errorHandler.bind(null, recover ? "Recover" : "Fail", errors),
       serialize: true,
       initializeMoreModules: false,
+      abstractEffectsInAdditionalFunctions: abstractEffects,
     };
     if (additionalFunctions) (options: any).additionalFunctions = ["global.additional1", "global['additional2']"];
     prepackFileSync([name], options);
diff --git a/src/evaluators/CallExpression.js b/src/evaluators/CallExpression.js
index 173fba5e5f..92b154857e 100644
--- a/src/evaluators/CallExpression.js
+++ b/src/evaluators/CallExpression.js
@@ -135,8 +135,8 @@ function EvaluateCall(
   }
 
   if (func instanceof AbstractValue) {
+    let loc = ast.callee.type === "MemberExpression" ? ast.callee.property.loc : ast.callee.loc;
     if (!Value.isTypeCompatibleWith(func.getType(), FunctionValue)) {
-      let loc = ast.callee.type === "MemberExpression" ? ast.callee.property.loc : ast.callee.loc;
       let error = new CompilerDiagnostic("might not be a function", loc, "PP0005", "RecoverableError");
       if (realm.handleError(error) === "Fail") throw new FatalError();
     } else if (func.kind === "conditional") {
@@ -144,6 +144,17 @@ function EvaluateCall(
     } else {
       // Assume that it is a safe function. TODO #705: really?
     }
+    if (realm.isInPureTryStatement) {
+      // TODO(1264): We should be able to preserve error handling on abstract throw
+      // but currently we just issue a recoverable error instead.
+      let diag = new CompilerDiagnostic(
+        "Possibly throwing function call inside try/catch",
+        loc,
+        "PP0021",
+        "RecoverableError"
+      );
+      if (realm.handleError(diag) !== "Recover") throw new FatalError();
+    }
     return generateRuntimeCall();
   }
   invariant(func instanceof ConcreteValue);
diff --git a/src/evaluators/TryStatement.js b/src/evaluators/TryStatement.js
index 8a2fd2c698..e694fb7c2e 100644
--- a/src/evaluators/TryStatement.js
+++ b/src/evaluators/TryStatement.js
@@ -24,7 +24,19 @@ import type { BabelNodeTryStatement } from "babel-types";
 import invariant from "../invariant.js";
 
 export default function(ast: BabelNodeTryStatement, strictCode: boolean, env: LexicalEnvironment, realm: Realm): Value {
-  let blockRes = env.evaluateCompletionDeref(ast.block, strictCode);
+  let wasInPureTryStatement = realm.isInPureTryStatement;
+  if (realm.createdObjectsTrackedForLeaks) {
+    // TODO(1264): This is used to issue a warning if we have abstract function calls in here.
+    // We might not need it once we have full support for handling potential errors. Even
+    // then we might need it to know whether we should bother tracking error handling.
+    realm.isInPureTryStatement = true;
+  }
+  let blockRes;
+  try {
+    blockRes = env.evaluateCompletionDeref(ast.block, strictCode);
+  } finally {
+    realm.isInPureTryStatement = wasInPureTryStatement;
+  }
 
   let handlerRes = blockRes;
   let handler = ast.handler;
diff --git a/src/realm.js b/src/realm.js
index 556fe42d88..14baa5f94b 100644
--- a/src/realm.js
+++ b/src/realm.js
@@ -133,6 +133,7 @@ export class Realm {
     this.isReadOnly = false;
     this.useAbstractInterpretation = !!opts.serialize || !!opts.residual;
     this.trackLeaks = !!opts.abstractEffectsInAdditionalFunctions;
+    this.isInPureTryStatement = false;
     if (opts.mathRandomSeed !== undefined) {
       this.mathRandomGenerator = seedrandom(opts.mathRandomSeed);
     }
@@ -194,6 +195,7 @@ export class Realm {
   useAbstractInterpretation: boolean;
   trackLeaks: boolean;
   debugNames: void | boolean;
+  isInPureTryStatement: boolean; // TODO(1264): Remove this once we implement proper exception handling in abstract calls.
   timeout: void | number;
   mathRandomGenerator: void | (() => number);
   strictlyMonotonicDateNow: boolean;
diff --git a/test/error-handler/try-and-call-abstract-function.js b/test/error-handler/try-and-call-abstract-function.js
new file mode 100644
index 0000000000..a5be74c0ed
--- /dev/null
+++ b/test/error-handler/try-and-call-abstract-function.js
@@ -0,0 +1,36 @@
+// additional functions
+// abstract effects
+// expected errors: [{location: {"start":{"line":26,"column":11},"end":{"line":26,"column":21},"identifierName":"abstractFn","source":"test/error-handler/try-and-call-abstract-function.js"}, errorCode: "PP0021", severity: "RecoverableError", message: "Possibly throwing function call inside try/catch"}]
+
+let abstractFn = global.__abstract ? __abstract('function', '(function() { return true; })') : function() { return true; };
+
+function concreteFunction() {
+  return true;
+}
+
+function additional1() {
+  let value;
+  try {
+    // This is ok.
+    value = concreteFunction();
+  } catch (x) {
+    value = false;
+  }
+  // This is ok.
+  return abstractFn(value);
+}
+
+function additional2() {
+  try {
+    // This is not ok.
+    return abstractFn();
+  } catch (x) {
+    return false;
+  }
+}
+
+inspect = function() {
+  let ret1 = additional1();
+  let ret2 = additional2();
+  return JSON.stringify({ ret1, ret2 });
+}