diff --git a/aider/coders/udiff_coder.py b/aider/coders/udiff_coder.py
index 1ed587b93..7deeb8dc6 100644
--- a/aider/coders/udiff_coder.py
+++ b/aider/coders/udiff_coder.py
@@ -307,7 +307,7 @@ def apply_partial_hunk(content, preceding_context, changes, following_context):
 
 
 def find_diffs(content):
-    # We can always use triple-quotes, because all the udiff content
+    # We can always fence with triple-quotes, because all the udiff content
     # is prefixed with +/-/space.
 
     if not content.endswith("\n"):
@@ -356,6 +356,20 @@ def process_fenced_block(lines, start_line_num):
         hunk.append(line)
         if len(line) < 2:
             continue
+
+        if line.startswith("+++ ") and hunk[-2].startswith("--- "):
+            if hunk[-3] == "\n":
+                hunk = hunk[:-3]
+            else:
+                hunk = hunk[:-2]
+
+            edits.append((fname, hunk))
+            hunk = []
+            keeper = False
+
+            fname = line[4:].strip()
+            continue
+
         op = line[0]
         if op in "-+":
             keeper = True
@@ -369,6 +383,7 @@ def process_fenced_block(lines, start_line_num):
         hunk = hunk[:-1]
         edits.append((fname, hunk))
         hunk = []
+        keeper = False
 
     return line_num + 1, edits
 
diff --git a/tests/test_udiff.py b/tests/test_udiff.py
index 120c9a19f..d8cec803e 100644
--- a/tests/test_udiff.py
+++ b/tests/test_udiff.py
@@ -68,6 +68,52 @@ Some text...
         self.assertEqual(edit[0], "dir name with spaces/file.txt")
         self.assertEqual(edit[1], ["-Original\n", "+Modified\n"])
 
+    def test_find_multi_diffs(self):
+        content = """
+To implement the `--check-update` option, I will make the following changes:
+
+1. Add the `--check-update` argument to the argument parser in `aider/main.py`.
+2. Modify the `check_version` function in `aider/versioncheck.py` to return a boolean indicating whether an update is available.
+3. Use the returned value from `check_version` in `aider/main.py` to set the exit status code when `--check-update` is used.
+
+Here are the diffs for those changes:
+
+```diff
+--- aider/versioncheck.py
++++ aider/versioncheck.py
+@@ ... @@
+     except Exception as err:
+         print_cmd(f"Error checking pypi for new version: {err}")
++        return False
+
+--- aider/main.py
++++ aider/main.py
+@@ ... @@
+     other_group.add_argument(
+         "--version",
+         action="version",
+         version=f"%(prog)s {__version__}",
+         help="Show the version number and exit",
+     )
++    other_group.add_argument(
++        "--check-update",
++        action="store_true",
++        help="Check for updates and return status in the exit code",
++        default=False,
++    )
+     other_group.add_argument(
+         "--apply",
+         metavar="FILE",
+```
+
+These changes will add the `--check-update` option to the command-line interface and use the `check_version` function to determine if an update is available, exiting with status code `0` if no update is available and `1` if an update is available.
+"""  # noqa: E501
+
+        edits = find_diffs(content)
+        dump(edits)
+        self.assertEqual(len(edits), 2)
+        self.assertEqual(len(edits[0][1]), 3)
+
 
 if __name__ == "__main__":
     unittest.main()