diff --git a/crates/model/src/extrude.rs b/crates/model/src/extrude.rs
index 4f4357853..71d550367 100644
--- a/crates/model/src/extrude.rs
+++ b/crates/model/src/extrude.rs
@@ -157,12 +157,17 @@ pub fn group_contours(contours: Vec<Vec<P>>) -> Vec<Outline> {
     let mut slot = vec![usize::MAX; n];
     let mut order: Vec<usize> = (0..n).collect();
     order.sort_by_key(|&i| depth[i]);
-    for i in order {
+    // Every outline gets its slot before any hole is attached: with overlapping paths a hole's
+    // parent can be deeper than the hole itself.
+    for &i in &order {
         if depth[i].is_multiple_of(2) {
             slot[i] = outlines.len();
             outlines.push(Outline { outer: cs[i].clone(), holes: vec![] });
-        } else if let Some(p) = parent[i]
-            && slot[p] != usize::MAX
+        }
+    }
+    for &i in &order {
+        if !depth[i].is_multiple_of(2)
+            && let Some(p) = parent[i]
         {
             outlines[slot[p]].holes.push(cs[i].clone());
         }
diff --git a/crates/model/src/tests.rs b/crates/model/src/tests.rs
index 934737bc1..b36e32e78 100644
--- a/crates/model/src/tests.rs
+++ b/crates/model/src/tests.rs
@@ -452,6 +452,23 @@ fn a_contour_inside_a_hole_takes_the_innermost_outline_not_the_hole() {
     assert_eq!(g.iter().map(|o| o.holes.len()).collect::<Vec<_>>(), [1, 1], "C is a hole of A, D a hole of B (not dropped)");
 }
 
+#[test]
+fn a_hole_whose_outline_is_deeper_than_it_is_still_attached() {
+    let rect = |x0: f64, y0: f64, x1: f64, y1: f64| vec![[x0, y0], [x1, y0], [x1, y1], [x0, y1]];
+    // D is three deep and its innermost outline A four deep: A's slot must exist before D is attached.
+    let a = rect(0.0, 0.0, 10.0, 10.0);
+    let g = group_contours(vec![
+        a.clone(),
+        rect(-1.0, -1.0, 20.0, 20.0),
+        rect(-2.0, -2.0, 25.0, 25.0),
+        rect(5.0, 5.0, 6.0, 6.0),
+        rect(-100.0, -100.0, 3.0, 3.0),
+        rect(-0.5, -1000.0, 0.5, 1000.0),
+    ]);
+    let o = g.iter().find(|o| o.outer == a).expect("A is an outline");
+    assert_eq!(o.holes.len(), 1, "D is a hole of A");
+}
+
 #[test]
 fn gltf_images_naming_one_file_share_their_wrap_variants() {
     let png = {