diff --git a/examples/reference/widgets/FileDownload.ipynb b/examples/reference/widgets/FileDownload.ipynb
index 6f4fd1dc58..f59dcebe48 100644
--- a/examples/reference/widgets/FileDownload.ipynb
+++ b/examples/reference/widgets/FileDownload.ipynb
@@ -26,7 +26,7 @@
     "\n",
     "##### Core\n",
     "\n",
-    "* **`auto`** (boolean):  Whether to download the file the initial click (if `True`) or when clicking a second time (or via the right-click Save file menu).\n",
+    "* **`auto`** (boolean):  Whether to download the file with the first click (if `True`) or only after clicking a second time (if `False`, enables right-click -> Save as).\n",
     "* **`callback`** (callable): A callable that returns a file or file-like object (takes precedence over `file` if set). \n",
     "* **`embed`** (boolean):  Whether to embed the data on initialization.\n",
     "* **`file`** (str, Path or file-like object):  A path to a file or a file-like object.\n",
diff --git a/panel/pane/_textual.py b/panel/pane/_textual.py
index 33e34c210f..0029509eb0 100644
--- a/panel/pane/_textual.py
+++ b/panel/pane/_textual.py
@@ -66,8 +66,10 @@ def _disable_mouse_support(self) -> None:
         self.flush()
 
     def _process_input(self, event):
+        # Textual 0.86 changed from `process_event` to `process_message`
+        fn = self.process_event if hasattr(self, 'process_event') else self.process_message
         for parsed_event in self._parser.feed(event.new):
-            self.process_event(parsed_event)
+            fn(parsed_event)
 
     def disable_input(self):
         if self._input_watcher is None: