diff --git a/pandas-stubs/core/frame.pyi b/pandas-stubs/core/frame.pyi
index 4eadbf022..c6ad8493b 100644
--- a/pandas-stubs/core/frame.pyi
+++ b/pandas-stubs/core/frame.pyi
@@ -166,7 +166,9 @@ class _LocIndexerFrame(_LocIndexer):
     @overload
     def __getitem__(
         self,
-        idx: tuple[int | StrLike | tuple[ScalarT, ...], int | StrLike],
+        idx: tuple[
+            int | StrLike | tuple[Scalar, ...], int | StrLike | tuple[Scalar, ...]
+        ],
     ) -> Scalar: ...
     @overload
     def __getitem__(
diff --git a/pandas-stubs/core/indexing.pyi b/pandas-stubs/core/indexing.pyi
index 35a748fcd..a3b517150 100644
--- a/pandas-stubs/core/indexing.pyi
+++ b/pandas-stubs/core/indexing.pyi
@@ -15,7 +15,7 @@ from pandas._typing import (
 )
 
 _IndexSliceTuple: TypeAlias = tuple[
-    Union[Index, MaskType, Scalar, list[ScalarT], slice], ...
+    Union[Index, MaskType, Scalar, list[ScalarT], slice | tuple[Scalar, ...]], ...
 ]
 
 _IndexSliceUnion: TypeAlias = Union[slice, _IndexSliceTuple]
diff --git a/tests/test_frame.py b/tests/test_frame.py
index 02f45bc1f..72c7360a7 100644
--- a/tests/test_frame.py
+++ b/tests/test_frame.py
@@ -2319,3 +2319,16 @@ def test_getattr_and_dataframe_groupby() -> None:
         assert_type(df.groupby("col1").col3.agg([min, max]), pd.DataFrame),
         pd.DataFrame,
     )
+
+
+def test_getsetitem_multiindex() -> None:
+    # GH 466
+    rows = pd.Index(["project A", "project B", "project C"])
+    years: tuple[str, ...] = ("Year 1", "Year 2", "Year 3")
+    quarters: tuple[str, ...] = ("Q1", "Q2", "Q3", "Q4")
+    index_tuples: list[tuple[str, ...]] = list(itertools.product(years, quarters))
+    cols = pd.MultiIndex.from_tuples(index_tuples)
+    budget = pd.DataFrame(index=rows, columns=cols)
+    multi_index: tuple[str, str] = ("Year 1", "Q1")
+    budget.loc["project A", multi_index] = 4700
+    check(assert_type(budget.loc["project A", multi_index], Scalar), int)