diff --git a/components/calendar/__tests__/event-block-title-ux-p2-pim.test.tsx b/components/calendar/__tests__/event-block-title-ux-p2-pim.test.tsx
new file mode 100644
index 000000000..fce16b53c
--- /dev/null
+++ b/components/calendar/__tests__/event-block-title-ux-p2-pim.test.tsx
@@ -0,0 +1,37 @@
+import { render, renderHook, screen } from '@testing-library/react';
+import { describe, expect, it } from 'vitest';
+import { EventCard } from '../event-card';
+import { useDisplayHours } from '@/hooks/use-display-hours';
+import type { CalendarEvent } from '@/lib/jmap/types';
+
+// pim-p2-19: the part of "Night train to Vienna" after midnight starts at the
+// top of the day, scrolled out of view, so the week showed a block with no
+// title. The title line now sticks under the grid's header while the block is
+// in sight. A block that hid its overflow was a scroller of its own, and a
+// sticky line inside one sticks to the block, not to the grid.
+
+const train = {
+  id: 'n1', '@type': 'Event', uid: 'n1', title: 'Night train to Vienna', start: '2026-11-07T00:00:00',
+  duration: 'PT7H40M', showWithoutTime: false, status: 'confirmed', calendarIds: { cal: true }, participants: null,
+} as unknown as CalendarEvent;
+
+describe('the title of a long block stays in sight', () => {
+  it('sticks the title line under the header and clips the block without making it a scroller', () => {
+    render(<EventCard event={train} variant="block" continuesBefore />);
+    const card = screen.getByRole('button', { name: /Night train to Vienna/ });
+    expect(card.className).toContain('overflow-clip');
+    expect(card.className).not.toContain('overflow-hidden');
+    const line = card.querySelector('[data-event-title-line]') as HTMLElement;
+    expect(line.className).toContain('sticky');
+    expect(line.className).toContain('top-[var(--grid-header-height,0px)]');
+    expect(line.textContent).toContain('Night train to Vienna');
+  });
+
+  it('tells the grid how tall its header is, for the sticky title', () => {
+    const pane = document.createElement('div');
+    const header = document.createElement('div');
+    Object.defineProperty(header, 'offsetHeight', { value: 96 });
+    renderHook(() => useDisplayHours({ scrollRef: { current: pane }, headerRef: { current: header }, minHourHeight: 48 }));
+    expect(pane.style.getPropertyValue('--grid-header-height')).toBe('96px');
+  });
+});
diff --git a/components/calendar/event-card.tsx b/components/calendar/event-card.tsx
index 4a31e76e9..8f9732155 100644
--- a/components/calendar/event-card.tsx
+++ b/components/calendar/event-card.tsx
@@ -450,8 +450,9 @@ export function EventCard({ event, calendar, variant, onClick, onMouseEnter, onM
       data-continues-after={continuesAfter || undefined}
       className={cn(
         // A block box: an inline one hangs its line's descent below the
-        // grid's last hour and makes the filled pane scroll.
-        "relative block w-full h-full text-start rounded-xs px-1.5 py-0.5 text-xs overflow-hidden",
+        // grid's last hour and makes the filled pane scroll. Clipped, not
+        // hidden: hidden makes the block a scroller and its title can't stick.
+        "relative block w-full h-full text-start rounded-xs px-1.5 py-0.5 text-xs overflow-clip",
         "hover:opacity-90 transition-opacity cursor-pointer",
         // Cut at the edge of the visible hours: a square edge and an arrow
         // say the event runs on past it.
@@ -470,6 +471,10 @@ export function EventCard({ event, calendar, variant, onClick, onMouseEnter, onM
       {/* Shorter blocks have no room for a second line at the 60px hour, so
           their start time follows the title on the same line, when the
           block is wide enough to keep the title readable. */}
+      {/* The title stays in sight under the grid's header while the block
+          is: the morning part of a night train started at midnight, scrolled
+          out of view, and showed as a block with no name (pim-p2-19). */}
+      <div data-event-title-line className="sticky top-[var(--grid-header-height,0px)]">
       <div className="@container">
         <div className="flex items-baseline gap-1 min-w-0">
           <span dir="auto" className={cn("font-medium truncate", isInactive && "line-through")}>{event.title || t("events.no_title")}</span>
@@ -487,6 +492,7 @@ export function EventCard({ event, calendar, variant, onClick, onMouseEnter, onM
           </div>
         </div>
       )}
+      </div>
       {visibleCalendarName && (
         <div data-calendar-name dir="auto" className="opacity-85 text-[0.65625rem] truncate">{visibleCalendarName}</div>
       )}
diff --git a/hooks/use-display-hours.ts b/hooks/use-display-hours.ts
index 68a64e34c..39821c87f 100644
--- a/hooks/use-display-hours.ts
+++ b/hooks/use-display-hours.ts
@@ -58,7 +58,13 @@ export function useDisplayHours({ scrollRef, minHourHeight, headerRef, revealAt
   useLayoutEffect(() => {
     const root = scrollRef.current;
     if (!root) return;
-    const measure = () => setAvailable(Math.max(0, root.clientHeight - (headerRef?.current?.offsetHeight ?? 0)));
+    const measure = () => {
+      const headerHeight = headerRef?.current?.offsetHeight ?? 0;
+      setAvailable(Math.max(0, root.clientHeight - headerHeight));
+      // Where an event's title sticks while its block runs above the visible
+      // hours: an overnight event's morning part (pim-p2-19).
+      root.style?.setProperty("--grid-header-height", `${headerHeight}px`);
+    };
     measure();
     if (typeof ResizeObserver === "undefined") return;
     const observer = new ResizeObserver(measure);