diff --git a/tests/assets/cli/func_other_name_with_import.py b/tests/assets/cli/func_other_name_with_import.py
new file mode 100644
index 0000000000..08b9cb197e
--- /dev/null
+++ b/tests/assets/cli/func_other_name_with_import.py
@@ -0,0 +1,7 @@
+from pathlib import Path
+
+app = "not a Typer app"
+
+
+def some_function(name: str = "World"):
+    print(f"Hello {name} from {Path('.').name or 'here'}")
diff --git a/tests/assets/cli/multi_app_any_name.py b/tests/assets/cli/multi_app_any_name.py
new file mode 100644
index 0000000000..d4e561abce
--- /dev/null
+++ b/tests/assets/cli/multi_app_any_name.py
@@ -0,0 +1,11 @@
+import typer
+
+zeta = typer.Typer()
+
+
+@zeta.command()
+def hello():
+    print("zeta")
+
+
+alpha = typer.Typer()
diff --git a/tests/test_cli/test_app_order.py b/tests/test_cli/test_app_order.py
new file mode 100644
index 0000000000..f4409f3ada
--- /dev/null
+++ b/tests/test_cli/test_app_order.py
@@ -0,0 +1,33 @@
+import os
+import subprocess
+import sys
+
+
+def run_with_seed(asset: str, seed: int, *args: str) -> str:
+    env = {**os.environ, "PYTHONHASHSEED": str(seed)}
+    result = subprocess.run(
+        [sys.executable, "-m", "coverage", "run", "-m", "typer", asset, "run", *args],
+        capture_output=True,
+        encoding="utf-8",
+        env=env,
+    )
+    return result.stdout
+
+
+def test_first_app_in_file_is_used_for_any_seed():
+    outputs = {
+        run_with_seed("tests/assets/cli/multi_app_any_name.py", seed)
+        for seed in range(8)
+    }
+    assert outputs == {"zeta\n"}
+
+
+def test_first_function_in_file_is_used_not_an_import():
+    outputs = {
+        run_with_seed(
+            "tests/assets/cli/func_other_name_with_import.py", seed, "--name", "Camila"
+        )
+        for seed in range(8)
+    }
+    assert len(outputs) == 1
+    assert "Hello Camila" in outputs.pop()
diff --git a/typer/cli.py b/typer/cli.py
index 98f9f4ec77..f5df4cd0da 100644
--- a/typer/cli.py
+++ b/typer/cli.py
@@ -1,4 +1,5 @@
 import importlib.util
+import inspect
 import re
 import sys
 from pathlib import Path
@@ -86,18 +87,19 @@ def get_typer_from_module(module: Any) -> typer.Typer | None:
         sub_app = typer.Typer()
         sub_app.command()(func_obj)
         return sub_app
-    # Iterate and get a default object to use as CLI
-    local_names = dir(module)
-    local_names_set = set(local_names)
+    # Iterate and get a default object to use as CLI, in the order the names
+    # were defined in the file
+    local_names = [name for name in vars(module) if not name.startswith("__")]
     # Try to get a default Typer app
     for name in default_app_names:
-        if name in local_names_set:
-            obj = getattr(module, name, None)
-            if isinstance(obj, typer.Typer):
-                return obj
-    # Try to get any Typer app
-    for name in local_names_set - set(default_app_names):
-        obj = getattr(module, name)
+        obj = getattr(module, name, None)
+        if isinstance(obj, typer.Typer):
+            return obj
+    # Try to get the first Typer app
+    for name in local_names:
+        if name in default_app_names:
+            continue
+        obj = getattr(module, name, None)
         if isinstance(obj, typer.Typer):
             return obj
     # Try to get a default function
@@ -107,10 +109,12 @@ def get_typer_from_module(module: Any) -> typer.Typer | None:
             sub_app = typer.Typer()
             sub_app.command()(func_obj)
             return sub_app
-    # Try to get any func app
-    for func_name in local_names_set - set(default_func_names):
-        func_obj = getattr(module, func_name)
-        if callable(func_obj):
+    # Try to get the first function defined in the file
+    for func_name in local_names:
+        if func_name in default_func_names:
+            continue
+        func_obj = getattr(module, func_name, None)
+        if inspect.isfunction(func_obj) and func_obj.__module__ == module.__name__:
             sub_app = typer.Typer()
             sub_app.command()(func_obj)
             return sub_app