diff --git a/crates/parry2d/tests/query/point_composite_shape.rs b/crates/parry2d/tests/query/point_composite_shape.rs
index 53064c6c..a289a50b 100644
--- a/crates/parry2d/tests/query/point_composite_shape.rs
+++ b/crates/parry2d/tests/query/point_composite_shape.rs
@@ -24,3 +24,46 @@ fn project_local_point_and_get_feature_gets_the_enclosing_triangle() {
     assert_eq!(proj.is_inside, is_inside_correct);
     assert_eq!(feat.unwrap_face(), correct_tri_idx);
 }
+
+#[test]
+fn project_local_point_and_get_feature_projects_correctly_from_outside() {
+    let vertices = vec![
+        Point2::new(0.0, 1.0),
+        Point2::new(0.0, 0.0),
+        Point2::new(1.0, 0.0),
+        Point2::new(1.0, 1.0),
+    ];
+
+    let mesh = TriMesh::new(vertices, vec![[0, 1, 2], [3, 0, 2]]);
+
+    {
+        let query_pt = Point2::new(-1.0, 0.0); // Inside the top-right triangle (index 1)
+
+        let (proj, feat) = mesh.project_local_point_and_get_feature(&query_pt);
+
+        let correct_tri_idx = 0;
+        let correct_tri = mesh.triangle(correct_tri_idx);
+
+        let is_inside_correct = correct_tri.contains_local_point(&query_pt);
+
+        assert_eq!(is_inside_correct, false);
+        assert_eq!(proj.is_inside, is_inside_correct);
+        assert_eq!(proj.point, Point2::origin());
+        assert_eq!(feat.unwrap_face(), correct_tri_idx);
+    }
+    {
+        let query_pt = Point2::new(0.5, 2.0); // Inside the top-right triangle (index 1)
+
+        let (proj, feat) = mesh.project_local_point_and_get_feature(&query_pt);
+
+        let correct_tri_idx = 1;
+        let correct_tri = mesh.triangle(correct_tri_idx);
+
+        let is_inside_correct = correct_tri.contains_local_point(&query_pt);
+
+        assert_eq!(is_inside_correct, false);
+        assert_eq!(proj.is_inside, is_inside_correct);
+        assert_eq!(proj.point, Point2::new(0.5, 1.0));
+        assert_eq!(feat.unwrap_face(), correct_tri_idx);
+    }
+}