diff --git a/packages/browser/src/eventbuilder.ts b/packages/browser/src/eventbuilder.ts
index ebd4cee78b2a..cff9f0fe4632 100644
--- a/packages/browser/src/eventbuilder.ts
+++ b/packages/browser/src/eventbuilder.ts
@@ -33,7 +33,7 @@ export function exceptionFromError(stackParser: StackParser, ex: Error): Excepti
   const frames = parseStackFrames(stackParser, ex);
 
   const exception: Exception = {
-    type: ex && ex.name,
+    type: extractType(ex),
     value: extractMessage(ex),
   };
 
@@ -159,19 +159,59 @@ function getPopFirstTopFrames(ex: Error & { framesToPop?: unknown }): number {
   return 0;
 }
 
+// https://developer.mozilla.org/en-US/docs/WebAssembly/JavaScript_interface/Exception
+// @ts-expect-error - WebAssembly.Exception is a valid class
+function isWebAssemblyException(exception: unknown): exception is WebAssembly.Exception {
+  // Check for support
+  // @ts-expect-error - WebAssembly.Exception is a valid class
+  if (typeof WebAssembly !== 'undefined' && typeof WebAssembly.Exception !== 'undefined') {
+    // @ts-expect-error - WebAssembly.Exception is a valid class
+    return exception instanceof WebAssembly.Exception;
+  } else {
+    return false;
+  }
+}
+
+/**
+ * Extracts from errors what we use as the exception `type` in error events.
+ *
+ * Usually, this is the `name` property on Error objects but WASM errors need to be treated differently.
+ */
+export function extractType(ex: Error & { message: { error?: Error } }): string | undefined {
+  const name = ex && ex.name;
+
+  // The name for WebAssembly.Exception Errors needs to be extracted differently.
+  // Context: https://github.com/getsentry/sentry-javascript/issues/13787
+  if (!name && isWebAssemblyException(ex)) {
+    // Emscripten sets array[type, message] to the "message" property on the WebAssembly.Exception object
+    const hasTypeInMessage = ex.message && Array.isArray(ex.message) && ex.message.length == 2;
+    return hasTypeInMessage ? ex.message[0] : 'WebAssembly.Exception';
+  }
+
+  return name;
+}
+
 /**
  * There are cases where stacktrace.message is an Event object
  * https://github.com/getsentry/sentry-javascript/issues/1949
  * In this specific case we try to extract stacktrace.message.error.message
  */
-function extractMessage(ex: Error & { message: { error?: Error } }): string {
+export function extractMessage(ex: Error & { message: { error?: Error } }): string {
   const message = ex && ex.message;
+
   if (!message) {
     return 'No error message';
   }
+
   if (message.error && typeof message.error.message === 'string') {
     return message.error.message;
   }
+
+  // Emscripten sets array[type, message] to the "message" property on the WebAssembly.Exception object
+  if (isWebAssemblyException(ex) && Array.isArray(ex.message) && ex.message.length == 2) {
+    return ex.message[1];
+  }
+
   return message;
 }
 
diff --git a/packages/browser/test/eventbuilder.test.ts b/packages/browser/test/eventbuilder.test.ts
index 0f43e7495efd..31112abbfc7e 100644
--- a/packages/browser/test/eventbuilder.test.ts
+++ b/packages/browser/test/eventbuilder.test.ts
@@ -5,7 +5,7 @@
 import { afterEach, describe, expect, it, vi } from 'vitest';
 
 import { defaultStackParser } from '../src';
-import { eventFromUnknownInput } from '../src/eventbuilder';
+import { eventFromUnknownInput, extractMessage, extractType } from '../src/eventbuilder';
 
 vi.mock('@sentry/core', async requireActual => {
   return {
@@ -169,3 +169,65 @@ describe('eventFromUnknownInput', () => {
     });
   });
 });
+
+describe('extractMessage', () => {
+  it('should extract message from a standard Error object', () => {
+    const error = new Error('Test error message');
+    const message = extractMessage(error);
+    expect(message).toBe('Test error message');
+  });
+
+  it('should extract message from a WebAssembly.Exception object', () => {
+    // https://developer.mozilla.org/en-US/docs/WebAssembly/JavaScript_interface/Exception/Exception#examples
+    // @ts-expect-error - WebAssembly.Tag is a valid constructor
+    const tag = new WebAssembly.Tag({ parameters: ['i32', 'f32'] });
+    // @ts-expect-error - WebAssembly.Exception is a valid constructor
+    const wasmException = new WebAssembly.Exception(tag, [42, 42.3]);
+
+    const message = extractMessage(wasmException);
+    expect(message).toBe('wasm exception');
+  });
+
+  it('should extract nested error message', () => {
+    const nestedError = {
+      message: {
+        error: new Error('Nested error message'),
+      },
+    };
+    const message = extractMessage(nestedError as any);
+    expect(message).toBe('Nested error message');
+  });
+
+  it('should return "No error message" if message is undefined', () => {
+    const error = new Error();
+    error.message = undefined as any;
+    const message = extractMessage(error);
+    expect(message).toBe('No error message');
+  });
+});
+
+describe('extractName', () => {
+  it('should extract name from a standard Error object', () => {
+    const error = new Error('Test error message');
+    const name = extractType(error);
+    expect(name).toBe('Error');
+  });
+
+  it('should extract name from a WebAssembly.Exception object', () => {
+    // https://developer.mozilla.org/en-US/docs/WebAssembly/JavaScript_interface/Exception/Exception#examples
+    // @ts-expect-error - WebAssembly.Tag is a valid constructor
+    const tag = new WebAssembly.Tag({ parameters: ['i32', 'f32'] });
+    // @ts-expect-error - WebAssembly.Exception is a valid constructor
+    const wasmException = new WebAssembly.Exception(tag, [42, 42.3]);
+
+    const name = extractType(wasmException);
+    expect(name).toBe('WebAssembly.Exception');
+  });
+
+  it('should return undefined if name is not present', () => {
+    const error = new Error('Test error message');
+    error.name = undefined as any;
+    const name = extractType(error);
+    expect(name).toBeUndefined();
+  });
+});
diff --git a/packages/utils/src/is.ts b/packages/utils/src/is.ts
index 13ae0edce489..f019508662cd 100644
--- a/packages/utils/src/is.ts
+++ b/packages/utils/src/is.ts
@@ -17,6 +17,7 @@ export function isError(wat: unknown): wat is Error {
     case '[object Error]':
     case '[object Exception]':
     case '[object DOMException]':
+    case '[object WebAssembly.Exception]':
       return true;
     default:
       return isInstanceOf(wat, Error);
diff --git a/packages/utils/test/is.test.ts b/packages/utils/test/is.test.ts
index 1ccfc2cd1754..853fae168681 100644
--- a/packages/utils/test/is.test.ts
+++ b/packages/utils/test/is.test.ts
@@ -11,6 +11,7 @@ import {
 } from '../src/is';
 import { supportsDOMError, supportsDOMException, supportsErrorEvent } from '../src/supports';
 import { resolvedSyncPromise } from '../src/syncpromise';
+import { testOnlyIfNodeVersionAtLeast } from './testutils';
 
 class SentryError extends Error {
   public name: string;
@@ -56,6 +57,14 @@ describe('isError()', () => {
     expect(isError('')).toEqual(false);
     expect(isError(true)).toEqual(false);
   });
+
+  testOnlyIfNodeVersionAtLeast(18)('should detect WebAssembly.Exceptions', () => {
+    // https://developer.mozilla.org/en-US/docs/WebAssembly/JavaScript_interface/Exception/Exception#examples
+    // @ts-expect-error - WebAssembly.Tag is a valid constructor
+    const tag = new WebAssembly.Tag({ parameters: ['i32', 'f32'] });
+    // @ts-expect-error - WebAssembly.Exception is a valid constructor
+    expect(isError(new WebAssembly.Exception(tag, [42, 42.3]))).toBe(true);
+  });
 });
 
 if (supportsErrorEvent()) {