diff --git a/src/layers/streetLevel/providers/mapillary/coverage.js b/src/layers/streetLevel/providers/mapillary/coverage.js
index c78d25789..5b9b5246c 100644
--- a/src/layers/streetLevel/providers/mapillary/coverage.js
+++ b/src/layers/streetLevel/providers/mapillary/coverage.js
@@ -216,12 +216,14 @@ export function createCoverage({ state, source }) {
   }
 
   /**
-   * Fetch the terrain heights a tile's lines need, then redraw it cast. A
-   * cast that resolves nothing clears `castRequested`, so the next refresh
-   * retries instead of this looping.
+   * Fetch the terrain heights a tile's lines need, then redraw it cast.
+   * `castRequested` stops the redraw from casting again at once; a refresh
+   * `retry`s a tile whose lines are still draped (a failed or partial cast),
+   * and it is redrawn only when more of its lines can be cast.
    */
-  function castTile(entry) {
-    if (entry.castRequested || entry.castAbort || !terrainMode()) return;
+  function castTile(entry, { retry = false } = {}) {
+    if ((entry.castRequested && !retry) || entry.castAbort || !terrainMode())
+      return;
     entry.castRequested = true;
     entry.castAbort = new AbortController();
     const { signal } = entry.castAbort;
@@ -233,9 +235,13 @@ export function createCoverage({ state, source }) {
       if (entry.castAbort?.signal === signal) entry.castAbort = null;
       const attached = [...state.coverage.tiles.values()].includes(entry);
       if (signal.aborted || !attached || !terrainMode()) return;
-      // Nothing new to cast: keep it draped until the next refresh.
-      if (!lines.some((coords) => caster.castLine(coords))) {
-        entry.castRequested = false;
+      // Nothing new to cast: keep what is drawn until the next refresh.
+      // Counted like buildSequencePrimitives: a cast line needs two points.
+      const castable = lines.filter(
+        (coords) => caster.castLine(coords)?.length >= 6,
+      ).length;
+      if (castable <= (entry.castLines || 0)) {
+        entry.castRequested = (entry.castLines || 0) > 0;
         return;
       }
       // A remesh may have cleared the flag while this was in flight.
@@ -718,11 +724,12 @@ export function createCoverage({ state, source }) {
     for (const tile of tiles) loadTile(tile, kind);
     if (!state.coverage.pending.size) purgeStale();
     // The camera moved: cells that were out of the sampler's range may not be,
-    // and a tile left draped by a failed or dropped cast gets another try.
+    // and lines left draped by a failed, partial or dropped cast get another try.
     if (terrainMode())
-      for (const entry of state.coverage.tiles.values())
+      for (const entry of state.coverage.tiles.values()) {
         if (entry.castRequested) requestMesh(entry);
-        else if (entry.drapedLines) castTile(entry);
+        if (entry.drapedLines) castTile(entry, { retry: true });
+      }
     notify();
   }
 
diff --git a/src/layers/streetLevel/providers/mapillary/coverage.test.mjs b/src/layers/streetLevel/providers/mapillary/coverage.test.mjs
index 1dc96d14d..26c6b13fc 100644
--- a/src/layers/streetLevel/providers/mapillary/coverage.test.mjs
+++ b/src/layers/streetLevel/providers/mapillary/coverage.test.mjs
@@ -930,3 +930,60 @@ test('a tile that fails before the terrain table loads is reported at once, neve
     process.off('unhandledRejection', onUnhandled);
   }
 });
+
+test('lines a partial terrain lookup left draped are cast once the terrain recovers', async () => {
+  // Two lines: the west one's heights arrive, the east one's fail at first.
+  let eastUp = false;
+  let prepares = 0;
+  const groundCaster = {
+    prepareLines: async () => {
+      prepares++;
+      return eastUp;
+    },
+    castLine: (coords) =>
+      coords[0][0] < centreLon || eastUp
+        ? coords.flatMap(([lon, lat]) => [lon, lat, 30])
+        : null,
+  };
+  const { state, source, coverage, centre } = setup({
+    surface: 'terrain',
+    groundCaster,
+  });
+  const centreLon = centre.lon;
+  const line = (from, to) => [
+    [
+      [from, centre.lat],
+      [to, centre.lat],
+    ],
+  ];
+  coverage.refresh();
+  source.calls[0].resolve(
+    encodeCoverageTile(centre.tile, {
+      sequences: [
+        { id: 'west', parts: line(centre.lon - 0.002, centre.lon - 0.001) },
+        { id: 'east', parts: line(centre.lon + 0.001, centre.lon + 0.002) },
+      ],
+    }),
+  );
+  await settle();
+  await settle();
+  const [entry] = state.coverage.tiles.values();
+  assert.equal(prepares, 1);
+  assert.deepEqual([entry.castLines, entry.drapedLines], [1, 1], 'partial');
+  await settle();
+  assert.equal(prepares, 1, 'no retry loop while the lookup fails');
+
+  // A refresh while still failing asks again but rebuilds nothing.
+  const drawn = entry.primitives;
+  coverage.refresh();
+  await settle();
+  assert.equal(prepares, 2);
+  assert.equal(entry.primitives, drawn, 'no rebuild without new heights');
+
+  eastUp = true; // the terrain proxy recovers
+  coverage.refresh();
+  await settle();
+  assert.equal(prepares, 3, 'the next refresh tries the draped line again');
+  assert.deepEqual([entry.castLines, entry.drapedLines], [2, 0], 'all cast');
+  coverage.clear();
+});