diff --git a/crates/idml/src/import.rs b/crates/idml/src/import.rs
index 12a60927d..c4ce496f0 100644
--- a/crates/idml/src/import.rs
+++ b/crates/idml/src/import.rs
@@ -890,7 +890,6 @@ impl<'r> Importer<'r> {
         Color::BLACK
     }
 
-    /// A swatch reference (Self id) → our swatch name; unnamed colours become value-named swatches.
     /// A `TextFramePreference`, with its column rule colour resolved to a swatch.
     fn frame_options(&mut self, prefs: &[&El]) -> TextFrameOptions {
         let mut o = text_frame_options(prefs);
@@ -900,6 +899,7 @@ impl<'r> Importer<'r> {
         o
     }
 
+    /// A swatch reference (Self id) → our swatch name; unnamed colours become value-named swatches.
     fn swatch_ref(&mut self, r: &str) -> String {
         if let Some(n) = self.swatch_names.get(r) {
             return n.clone();
@@ -2590,6 +2590,8 @@ impl<'r> Importer<'r> {
             None => (0.0, 0.0, 0.0, 0.0),
         };
         let size = ((r - l).abs(), (b - t).abs());
+        let wrap = if g.get("AppliedObjectStyle").is_some() { self.with_style(g, "TextWrapPreference") } else { g.find("TextWrapPreference").cloned() };
+        let wrap = wrap.map(|w| text_wrap(&w)).unwrap_or_default();
         let link = g.find("Link");
         let uri = link.and_then(|k| k.get("LinkResourceURI")).map(uri_to_path);
         let mut data = g.prop_el("Contents").map(|c| base64_decode(&c.text_content())).unwrap_or_default();
@@ -2627,8 +2629,9 @@ impl<'r> Importer<'r> {
             auto_fit: Default::default(),
             fit_align: 4,
             crop: [0.0; 4],
-            // A wrap set on the placed graphic (Direct Selection) is stored on the graphic element.
-            wrap: g.find("TextWrapPreference").map(text_wrap).unwrap_or_default(),
+            // A wrap set on the placed graphic (Direct Selection) is stored on the graphic element, over
+            // the graphic's own object style when it names one.
+            wrap,
         })
     }
 
diff --git a/crates/idml/src/tests/object_styles.rs b/crates/idml/src/tests/object_styles.rs
index aa2bf68be..85ec0aa49 100644
--- a/crates/idml/src/tests/object_styles.rs
+++ b/crates/idml/src/tests/object_styles.rs
@@ -166,3 +166,27 @@ fn exported_frames_keep_their_own_values_over_their_object_style() {
     let got = back.spreads[0].items.iter().find(|i| i.object_style == "Ruled").and_then(|i| i.text_frame()).unwrap();
     assert_eq!(got.options, want);
 }
+
+#[test]
+fn text_wrap_side_and_contour_come_from_the_style_for_frames_and_placed_graphics() {
+    let styles = r#"<ObjectStyle Self="ObjectStyle/Contour" Name="Contour">
+          <Properties><BasedOn type="string">$ID/[None]</BasedOn></Properties>
+          <TextWrapPreference TextWrapMode="Contour" TextWrapSide="LeftSide">
+            <Properties><TextWrapOffset Top="3" Left="3" Bottom="3" Right="3"/></Properties>
+            <ContourOption ContourType="BoundingBox"/>
+          </TextWrapPreference>
+        </ObjectStyle>"#;
+    let image = r#"<Image Self="g" AppliedObjectStyle="ObjectStyle/Contour">
+          <TextWrapPreference TextWrapSide="RightSide"/>
+        </Image>"#;
+    let d = fixture(styles, &[(r#"AppliedObjectStyle="ObjectStyle/Contour""#, ""), ("", image)]);
+    let frame = &d.spreads[0].items[0].wrap;
+    assert_eq!(frame.mode, designcraft_doc::WrapMode::Contour);
+    assert_eq!(frame.side, designcraft_doc::WrapSide::LeftSide);
+    assert_eq!(frame.contour, designcraft_doc::ContourType::BoundingBox);
+    assert_eq!(frame.offsets, [3.0; 4]);
+    let designcraft_doc::Content::Graphic(g) = &d.spreads[0].items[1].content else { panic!("{:?}", d.spreads[0].items[1].content) };
+    assert_eq!(g.wrap.mode, designcraft_doc::WrapMode::Contour);
+    assert_eq!(g.wrap.side, designcraft_doc::WrapSide::RightSide, "the graphic's own side wins");
+    assert_eq!(g.wrap.contour, designcraft_doc::ContourType::BoundingBox);
+}