diff --git a/crates/engine/src/code_connect_tests.rs b/crates/engine/src/code_connect_tests.rs
index 50db0ea8..1ee785e6 100644
--- a/crates/engine/src/code_connect_tests.rs
+++ b/crates/engine/src/code_connect_tests.rs
@@ -255,3 +255,17 @@ fn vue_links_are_a_default_import_with_quoted_bindings() {
     assert!(s.execute("codeConnect.set", &json!({"id": c, "language": "css"})).is_err(), "not a code language");
     assert!(s.execute("codeConnect.set", &json!({"id": c, "language": "vue", "importPath": "a b"})).is_err(), "no spaces in a path");
 }
+
+#[test]
+fn vue_layer_trees_import_connected_components_in_script_setup() {
+    let mut s = Session::new();
+    let c = card(&mut s);
+    ex(&mut s, "codeConnect.set", json!({"id": c, "language": "vue", "importPath": "./Card.vue"}));
+    let screen = idv(&ex(&mut s, "frame.create", json!({"x": 0, "y": 500, "width": 400, "height": 300, "name": "Screen"})));
+    ex(&mut s, "instance.create", json!({"component": c, "x": 20, "y": 30, "parent": screen}));
+    // A single-file component's imports belong in its `<script setup>`, not before the template.
+    let code = code(&mut s, screen, "vue");
+    let want = "<script setup lang=\"ts\">\n\nimport Card from \"./Card.vue\";\n\n</script>\n\n<template>\n";
+    assert!(code.starts_with(want), "{code}");
+    assert_eq!(code.matches("import Card").count(), 1, "{code}");
+}
diff --git a/crates/engine/src/component_codegen.rs b/crates/engine/src/component_codegen.rs
index 69b1e05d..2bbb2e10 100644
--- a/crates/engine/src/component_codegen.rs
+++ b/crates/engine/src/component_codegen.rs
@@ -147,7 +147,29 @@ pub fn code(doc: &Document, id: NodeId, lang: CodeLang) -> String {
             }
         },
     };
-    crate::code_connect::with_imports(&crate::code_connect::tree_imports(doc, id, lang), code)
+    let imports = crate::code_connect::tree_imports(doc, id, lang);
+    if lang == CodeLang::Vue && !imports.is_empty() {
+        return vue_with_imports(&imports, code);
+    }
+    crate::code_connect::with_imports(&imports, code)
+}
+
+/// A Vue single-file component imports in its `<script setup>`, which is added when it has none.
+fn vue_with_imports(imports: &[String], code: String) -> String {
+    const SETUP: &str = "<script setup lang=\"ts\">\n\n";
+    let lines = imports.join("\n");
+    // `find` returns char boundaries, so the splits below are safe.
+    if let Some(at) = code.find(SETUP).map(|at| at + SETUP.len()) {
+        let (head, tail) = code.split_at(at);
+        return format!("{head}{lines}\n\n{tail}");
+    }
+    match code.find("<template>") {
+        Some(at) => {
+            let (head, tail) = code.split_at(at);
+            format!("{head}{SETUP}{lines}\n\n</script>\n\n{tail}")
+        }
+        None => crate::code_connect::with_imports(imports, code),
+    }
 }
 
 fn is_component(doc: &Document, id: NodeId) -> bool {