diff --git a/server/src/bridge/frame-to-ansi.test.ts b/server/src/bridge/frame-to-ansi.test.ts
index 3306c55a..267de342 100644
--- a/server/src/bridge/frame-to-ansi.test.ts
+++ b/server/src/bridge/frame-to-ansi.test.ts
@@ -93,19 +93,27 @@ describe("frameToAnsi", () => {
     expect(out).toContain("L\x1b]8;;\x1b\\");
   });
 
-  test("positions and shapes the cursor", () => {
-    const f: FrameData = {
-      ...frame(
-        Array.from({ length: 12 }, () => cell("a")),
-        3,
-        4,
-      ),
-      cursor: { x: 2, y: 3, visible: true, shape: 5 },
-    };
-    const out = frameToAnsi(f);
-    expect(out).toContain("\x1b[4;3H");
-    expect(out).toContain("\x1b[5 q\x1b[?25h");
-  });
+  test.each([true, false])(
+    "positions the cursor when visible=%s",
+    (visible) => {
+      const f: FrameData = {
+        ...frame(
+          Array.from({ length: 12 }, () => cell("a")),
+          3,
+          4,
+        ),
+        cursor: { x: 2, y: 3, visible, shape: 5 },
+      };
+      const out = frameToAnsi(f);
+      expect(out).toContain("\x1b[4;3H");
+      if (visible) {
+        expect(out).toEndWith("\x1b[5 q\x1b[?25h");
+      } else {
+        expect(out).toEndWith("\x1b[?25l");
+        expect(out).not.toContain("\x1b[?25h");
+      }
+    },
+  );
 
   test("positions rows without wrapping the cell grid", () => {
     const out = frameToAnsi(
diff --git a/server/src/bridge/frame-to-ansi.ts b/server/src/bridge/frame-to-ansi.ts
index 25ed6396..3106368e 100644
--- a/server/src/bridge/frame-to-ansi.ts
+++ b/server/src/bridge/frame-to-ansi.ts
@@ -122,9 +122,10 @@ export function frameToAnsi(
   }
   out += "\x1b[?7h";
   const cursor = frame.cursor;
-  if (cursor?.visible && cursor.x < width && cursor.y < height) {
+  if (cursor && cursor.x < width && cursor.y < height) {
+    // Hidden cursors still anchor xterm's IME composition and candidate window.
     out += `${RESET}\x1b[${cursor.y + 1};${cursor.x + 1}H`;
-    out += `\x1b[${cursor.shape} q\x1b[?25h`;
+    out += cursor.visible ? `\x1b[${cursor.shape} q\x1b[?25h` : "\x1b[?25l";
   } else {
     out += "\x1b[?25l";
   }
diff --git a/web/src/endpointFrame.test.ts b/web/src/endpointFrame.test.ts
index 7eb010d7..391c04cd 100644
--- a/web/src/endpointFrame.test.ts
+++ b/web/src/endpointFrame.test.ts
@@ -48,6 +48,41 @@ test.each(["中", "🙂", "👩‍💻", "🇨🇳", "ｶﾞ", "e\u0301"])(
   },
 );
 
+test("keeps the IME anchor at hidden cursor coordinates across repaints", async () => {
+  const term = new Terminal({ cols: 10, rows: 5 });
+  const frame: FrameData = {
+    width: 10,
+    height: 5,
+    cursor: null,
+    hyperlinks: [],
+    cells: Array.from({ length: 50 }, () => ({
+      symbol: " ",
+      fg: 0,
+      bg: 0,
+      modifier: 0,
+      skip: false,
+      hyperlink: null,
+    })),
+  };
+  try {
+    for (const [x, y, visible] of [
+      [2, 1, false],
+      [4, 0, false],
+      [4, 0, true],
+      [0, 2, false],
+    ] as const) {
+      frame.cursor = { x, y, visible, shape: 1 };
+      const ansi = frameToAnsi(frame);
+      await new Promise<void>((resolve) => term.write(ansi, resolve));
+      expect(term.buffer.active.cursorX).toBe(x);
+      expect(term.buffer.active.cursorY).toBe(y);
+      expect(ansi).toEndWith(visible ? "\x1b[?25h" : "\x1b[?25l");
+    }
+  } finally {
+    term.dispose();
+  }
+});
+
 test.each([10, 11, 14])(
   "a %i-column TUI frame never wraps or scrolls a 10-column viewport",
   async (width) => {