diff --git a/crates/engine/src/cmd/face.rs b/crates/engine/src/cmd/face.rs
index 9ac66c72..4742d3e7 100644
--- a/crates/engine/src/cmd/face.rs
+++ b/crates/engine/src/cmd/face.rs
@@ -32,6 +32,25 @@ pub(super) fn face_normal(s: &Session, p: Vec3) -> Option<Vec3> {
         .find_map(|[a, b, c]| (b - a).cross(c - a).normalized())
 }
 
+/// Is the body face at `p` planar (`None`: no face there)?
+pub(super) fn face_is_planar(s: &Session, p: Vec3) -> Option<bool> {
+    let (m, f, d) = face_at(s, p)?;
+    let tol = (m.bounds().diagonal() * 1e-3).max(1e-3);
+    if d > tol * 10.0 {
+        return None;
+    }
+    let ns: Vec<Vec3> = m
+        .triangles
+        .iter()
+        .zip(&m.tri_face)
+        .filter(|(_, tf)| **tf == f)
+        .filter_map(|(t, _)| m.tri(t))
+        .filter_map(|[a, b, c]| (b - a).cross(c - a).normalized())
+        .collect();
+    let n0 = *ns.first()?;
+    Some(ns.iter().all(|n| n.dot(n0) > 1.0 - 1e-6))
+}
+
 /// The body face under a point: (mesh, face index, distance).
 fn face_at(s: &Session, p: Vec3) -> Option<(std::sync::Arc<Mesh>, u32, f64)> {
     let st = s.model.state();
diff --git a/crates/engine/src/cmd/features.rs b/crates/engine/src/cmd/features.rs
index 672cbfd4..4796a416 100644
--- a/crates/engine/src/cmd/features.rs
+++ b/crates/engine/src/cmd/features.rs
@@ -458,6 +458,28 @@ fn press_pull(s: &mut Session, p: &Value) -> Result<Value> {
     if d.abs() < 1e-9 {
         return Err(bad(cmd, "the distance must not be zero"));
     }
+    // A fillet's or chamfer's face: its size changes by the distance (the feature is edited).
+    if let Some(fp) = vec3(face)
+        && super::face::face_is_planar(s, fp) == Some(false)
+    {
+        let name = solvecraft_doc::naming::face_names_at(&s.model.state(), &[fp]).into_iter().next().unwrap_or_default();
+        let fid = name.strip_prefix('F').and_then(|r| r.split(':').next()).and_then(|x| x.parse::<u64>().ok());
+        if name.contains(":blend") {
+            let f = fid.and_then(|id| s.doc.feature(id)).cloned().ok_or_else(|| bad(cmd, "the blend's feature is gone"))?;
+            let (key, old) = match &f.kind {
+                FeatureKind::Fillet { radius, .. } => ("radius", radius.clone()),
+                FeatureKind::Chamfer { distance, .. } => ("distance", distance.clone()),
+                _ => return Err(bad(cmd, "that face is not a fillet's or a chamfer's")),
+            };
+            let new = format!("({old}) + ({distance})");
+            let r = super::find_command("timeline.edit").ok_or_else(|| bad(cmd, "timeline.edit"))?;
+            let out = (r.run)(s, &json!({"feature": f.id, "set": {key: new}}))?;
+            return Ok(json!({"feature": f.id, "edited": f.name, key: new, "recomputed": out.get("recomputed")}));
+        }
+        // Another curved face moves along its normal.
+        let r = super::find_command("FusionOffsetFacesCommand").ok_or_else(|| bad(cmd, "FusionOffsetFacesCommand"))?;
+        return (r.run)(s, &json!({"faces": [face], "distance": distance}));
+    }
     let (dist, dir, op) = if d > 0.0 { (distance, "positive", "join") } else { (format!("-({distance})"), "negative", "cut") };
     extrude(s, &json!({"face": face, "distance": dist, "direction": dir, "operation": op}))
 }
diff --git a/crates/engine/src/tests.rs b/crates/engine/src/tests.rs
index dfbff7fd..129f616b 100644
--- a/crates/engine/src/tests.rs
+++ b/crates/engine/src/tests.rs
@@ -1359,3 +1359,27 @@ fn tapped_and_clearance_holes() {
     assert!(s.execute("FusionHoleCommand", &json!({"position": [20, 25, 10], "clearance": "M7"})).is_err());
     assert!(s.execute("FusionHoleCommand", &json!({"position": [20, 25, 10]})).is_err());
 }
+
+/// Press Pull on a fillet's face changes its radius; on another curved face it offsets it.
+#[test]
+fn press_pull_on_curved_faces() {
+    let mut s = Session::default();
+    run(&mut s, "PrimitiveBox", json!({"length": 40, "width": 30, "height": 20}));
+    run(&mut s, "FusionFilletEdgesCommand", json!({"edges": [[40, 0, 10]], "radius": 3, "name": "Round"}));
+    let corner = |r: f64| (4.0 - PI) * r * r / 4.0 * 20.0;
+    assert!(rel(volume(&mut s), 24000.0 - corner(3.0)) < 1e-4);
+    // A point on the fillet: the arc's middle.
+    let c = Vec3::new(37.0, 3.0, 10.0);
+    let on = c + Vec3::new(1.0, -1.0, 0.0).normalized().unwrap() * 3.0;
+    let out = run(&mut s, "FusionPressPullCommand", json!({"face": [on.x, on.y, on.z], "distance": 2}));
+    assert_eq!(out["edited"], "Round", "{out}");
+    assert!(rel(volume(&mut s), 24000.0 - corner(5.0)) < 1e-4, "{}", volume(&mut s));
+    // A hole's wall: pulled along its normal (into the hole), the hole gets smaller.
+    let mut s = Session::default();
+    run(&mut s, "PrimitiveBox", json!({"length": 40, "width": 30, "height": 20}));
+    run(&mut s, "FusionHoleCommand", json!({"position": [20, 15, 20], "diameter": 10}));
+    let v0 = volume(&mut s);
+    run(&mut s, "FusionPressPullCommand", json!({"face": [25, 15, 10], "distance": 1}));
+    let v1 = volume(&mut s);
+    assert!(rel(v1 - v0, PI * (25.0 - 16.0) * 20.0) < 1e-3, "{v0} {v1}");
+}
diff --git a/crates/kernel/src/offset.rs b/crates/kernel/src/offset.rs
index 414d3ca9..3f277812 100644
--- a/crates/kernel/src/offset.rs
+++ b/crates/kernel/src/offset.rs
@@ -647,3 +647,43 @@ pub(crate) fn draft_walls(b: &Body, chosen: &[usize], neutral: &solvecraft_geom:
         Body::new(solid)
     })
 }
+
+/// The chosen faces and every face on the same surface joined to them (the halves of a hole's
+/// wall), as face indices.
+pub(crate) fn with_same_surface(b: &Body, chosen: &[usize]) -> Vec<usize> {
+    let faces: Vec<mt::Face> = b.solid.face_iter().cloned().collect();
+    let size = b.size();
+    let tol = (size * 1e-7).max(1e-9) * 100.0;
+    let surfs: Vec<Option<Surf>> = faces.iter().map(|f| surf_of(f, tol)).collect();
+    let same = |x: &Surf, y: &Surf| match (*x, *y) {
+        (Surf::Plane { n, d }, Surf::Plane { n: m, d: e }) => n.dot(m) > 1.0 - 1e-9 && (d - e).abs() < tol,
+        (Surf::Cylinder { o, a, r, convex }, Surf::Cylinder { o: o2, a: a2, r: r2, convex: c2 }) => {
+            a.dot(a2).abs() > 1.0 - 1e-9 && (r - r2).abs() < tol && convex == c2 && { (o2 - o - a * (o2 - o).dot(a)).len() < tol }
+        }
+        (Surf::Sphere { c, r, convex }, Surf::Sphere { c: c2, r: r2, convex: k2 }) => c.dist(c2) < tol && (r - r2).abs() < tol && convex == k2,
+        (Surf::Cone { v, a, half, convex }, Surf::Cone { v: v2, a: a2, half: h2, convex: k2 }) => {
+            v.dist(v2) < tol && a.dot(a2) > 1.0 - 1e-9 && (half - h2).abs() < 1e-9 && convex == k2
+        }
+        _ => false,
+    };
+    let mut out: Vec<usize> = chosen.to_vec();
+    let mut grew = true;
+    while grew {
+        grew = false;
+        for (i, f) in faces.iter().enumerate() {
+            if out.contains(&i) {
+                continue;
+            }
+            let Some(Some(si)) = surfs.get(i) else { continue };
+            let joins = out.iter().any(|j| {
+                surfs.get(*j).and_then(|x| x.as_ref()).is_some_and(|sj| same(si, sj))
+                    && faces.get(*j).is_some_and(|g| g.edge_iter().any(|e| f.edge_iter().any(|x| x.id() == e.id())))
+            });
+            if joins {
+                out.push(i);
+                grew = true;
+            }
+        }
+    }
+    out
+}
diff --git a/crates/kernel/src/polyhedron.rs b/crates/kernel/src/polyhedron.rs
index d333c994..8bfe9803 100644
--- a/crates/kernel/src/polyhedron.rs
+++ b/crates/kernel/src/polyhedron.rs
@@ -442,5 +442,6 @@ pub fn offset_faces(b: &Body, at: &[Vec3], distance: f64) -> Result<Body> {
             _ => return Err(KernelError::Invalid(format!("no face at {:?}", [p.x, p.y, p.z]))),
         }
     }
+    let chosen = crate::offset::with_same_surface(&healed, &chosen);
     offset_planar(&healed, |fi, _| if chosen.contains(&fi) { distance } else { 0.0 })
 }