diff --git a/CHANGELOG.md b/CHANGELOG.md
index e6cc5807..ef1bb81a 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -18,6 +18,7 @@
 - **Breaking:** Removed `DamageOutOfRange` error case. If the damage value is greater than the backend supports, it is instead clamped to an appropriate value.
 - **Breaking:** Removed `SurfaceExtWeb` and the associated `NoDisplayHandle` and `NoWindowHandle` helpers. Use `RawWindowHandle::WebCanvas` or `RawWindowHandle::WebOffscreenCanvas` instead.
 - Fixed `present_with_damage` with bounds out of range on Windows, Web and X11.
+- On Windows, fix `present_with_damage` leaving the parts of the window that the system invalidated unpainted, for example after restoring the window from minimized.
 
 # 0.4.8
 
diff --git a/examples/damage.rs b/examples/damage.rs
new file mode 100644
index 00000000..9023ec41
--- /dev/null
+++ b/examples/damage.rs
@@ -0,0 +1,134 @@
+//! Animates a small square and presents only the area that changed each frame.
+//!
+//! The rest of the window must stay intact even when the system discards what the window shows,
+//! for example when it is minimized and restored, or moved to a screen with another scale factor.
+
+use softbuffer::{Buffer, Context, Pixel, Rect, Surface};
+use std::num::NonZeroU32;
+use winit::event::{KeyEvent, WindowEvent};
+use winit::event_loop::{ControlFlow, EventLoop};
+use winit::keyboard::{Key, NamedKey};
+
+mod util;
+
+const SQUARE_SIZE: u32 = 40;
+const SQUARE_STEP: u32 = 4;
+const SQUARE_COLOR: Pixel = Pixel::new_rgb(0xff, 0xff, 0xff);
+
+fn background(x: u32, y: u32) -> Pixel {
+    Pixel::new_rgb(0x40 + (x % 0xc0) as u8, 0x60, 0x40 + (y % 0xc0) as u8)
+}
+
+fn square_at(frame: u32, width: NonZeroU32, height: NonZeroU32) -> Option<Rect> {
+    let size = SQUARE_SIZE.min(width.get()).min(height.get());
+    let travel = width.get() - size + 1;
+    Some(Rect {
+        x: frame.wrapping_mul(SQUARE_STEP) % travel,
+        y: (height.get() - size) / 2,
+        width: NonZeroU32::new(size)?,
+        height: NonZeroU32::new(size)?,
+    })
+}
+
+fn fill(buffer: &mut Buffer<'_>, rect: Rect, pixel: impl Fn(u32, u32) -> Pixel) {
+    let columns = rect.x..rect.x + rect.width.get();
+    for (y, row) in buffer
+        .pixel_rows()
+        .enumerate()
+        .skip(rect.y as usize)
+        .take(rect.height.get() as usize)
+    {
+        for x in columns.clone() {
+            row[x as usize] = pixel(x, y as u32);
+        }
+    }
+}
+
+fn main() {
+    util::setup();
+
+    let event_loop = EventLoop::new().unwrap();
+    let context = Context::new(event_loop.owned_display_handle()).unwrap();
+
+    let app = util::WinitAppBuilder::with_init(
+        |elwt| {
+            let window = util::make_window(elwt, |w| w.with_title("Partial presentation"));
+            let frame = 0u32;
+            let previous_square: Option<Rect> = None;
+            (window, frame, previous_square)
+        },
+        move |_elwt, (window, _, _)| Surface::new(&context, window.clone()).unwrap(),
+    )
+    .with_event_handler(|state, surface, window_id, event, elwt| {
+        let (window, frame, previous_square) = state;
+
+        elwt.set_control_flow(ControlFlow::Wait);
+
+        if window_id != window.id() {
+            return;
+        }
+
+        match event {
+            WindowEvent::Resized(size) => {
+                let Some(surface) = surface else {
+                    tracing::error!("Resized fired before Resumed or after Suspended");
+                    return;
+                };
+
+                if let (Some(width), Some(height)) =
+                    (NonZeroU32::new(size.width), NonZeroU32::new(size.height))
+                {
+                    surface.resize(width, height).unwrap();
+                }
+            }
+            WindowEvent::RedrawRequested => {
+                let Some(surface) = surface else {
+                    tracing::error!("RedrawRequested fired before Resumed or after Suspended");
+                    return;
+                };
+
+                let mut buffer = surface.next_buffer().unwrap();
+                let (width, height) = (buffer.width(), buffer.height());
+                let square = square_at(*frame, width, height);
+
+                match (buffer.age(), *previous_square, square) {
+                    (1, Some(previous), Some(current))
+                        if previous.x + previous.width.get() <= width.get()
+                            && previous.y + previous.height.get() <= height.get() =>
+                    {
+                        fill(&mut buffer, previous, background);
+                        fill(&mut buffer, current, |_, _| SQUARE_COLOR);
+                        buffer.present_with_damage(&[previous, current]).unwrap();
+                    }
+                    _ => {
+                        for (x, y, pixel) in buffer.pixels_iter() {
+                            *pixel = background(x, y);
+                        }
+                        if let Some(current) = square {
+                            fill(&mut buffer, current, |_, _| SQUARE_COLOR);
+                        }
+                        buffer.present().unwrap();
+                    }
+                }
+
+                *previous_square = square;
+                *frame = frame.wrapping_add(1);
+                window.request_redraw();
+            }
+            WindowEvent::CloseRequested
+            | WindowEvent::KeyboardInput {
+                event:
+                    KeyEvent {
+                        logical_key: Key::Named(NamedKey::Escape),
+                        ..
+                    },
+                ..
+            } => {
+                elwt.exit();
+            }
+            _ => {}
+        }
+    });
+
+    util::run_app(event_loop, app);
+}
diff --git a/src/backends/win32.rs b/src/backends/win32.rs
index 566fbff9..54c9f9cc 100644
--- a/src/backends/win32.rs
+++ b/src/backends/win32.rs
@@ -15,7 +15,7 @@ use std::slice;
 use std::sync::{mpsc, Mutex, OnceLock};
 use std::thread;
 
-use windows_sys::Win32::Foundation::HWND;
+use windows_sys::Win32::Foundation::{HWND, RECT};
 use windows_sys::Win32::Graphics::Gdi;
 use windows_sys::Win32::UI::ColorSystem::LCS_WINDOWS_COLOR_SPACE;
 
@@ -320,8 +320,9 @@ impl BufferInterface for BufferImpl<'_> {
     }
 
     fn present_with_damage(self, damage: &[Rect]) -> Result<(), SoftBufferError> {
+        let invalidated = self.invalidated_rect();
         unsafe {
-            for rect in damage {
+            for rect in damage.iter().chain(&invalidated) {
                 let rect = util::clamp_rect(
                     *rect,
                     self.buffer.width.try_into().unwrap(),
@@ -355,6 +356,40 @@ impl BufferInterface for BufferImpl<'_> {
     }
 }
 
+impl BufferImpl<'_> {
+    /// The part of the window that the system asked to repaint, within the buffer.
+    ///
+    /// Windows discards what a window shows when it is restored from minimized or moved to a
+    /// screen with another scale factor. The buffer still holds the last frame there, so it is
+    /// presented along with the damage instead of being validated away unpainted.
+    fn invalidated_rect(&self) -> Option<Rect> {
+        let mut rect = RECT {
+            left: 0,
+            top: 0,
+            right: 0,
+            bottom: 0,
+        };
+        if unsafe { Gdi::GetUpdateRect(self.window.0, &mut rect, false.into()) } == 0 {
+            return None;
+        }
+        clip_to_buffer(rect, self.buffer.width, self.buffer.height)
+    }
+}
+
+/// The part of `rect` that lies within a buffer of the given size, if any.
+fn clip_to_buffer(rect: RECT, width: NonZeroI32, height: NonZeroI32) -> Option<Rect> {
+    let left = rect.left.max(0);
+    let top = rect.top.max(0);
+    let right = rect.right.min(width.get());
+    let bottom = rect.bottom.min(height.get());
+    Some(Rect {
+        x: u32::try_from(left).ok()?,
+        y: u32::try_from(top).ok()?,
+        width: NonZeroU32::new(u32::try_from(right.saturating_sub(left)).ok()?)?,
+        height: NonZeroU32::new(u32::try_from(bottom.saturating_sub(top)).ok()?)?,
+    })
+}
+
 /// Allocator for device contexts.
 ///
 /// Device contexts can only be allocated or freed on the thread that originated them.
@@ -513,3 +548,82 @@ fn byte_stride(width: u32, bit_count: u32) -> u32 {
     // When `bit_count == 32`, this is always just equal to `width * 4`.
     ((width * bit_count + 31) & !31) >> 3
 }
+
+#[cfg(test)]
+mod tests {
+    use super::*;
+
+    const WIDTH: i32 = 800;
+    const HEIGHT: i32 = 600;
+
+    fn clip(left: i32, top: i32, right: i32, bottom: i32) -> Option<(u32, u32, u32, u32)> {
+        let rect = RECT {
+            left,
+            top,
+            right,
+            bottom,
+        };
+        let width = NonZeroI32::new(WIDTH).unwrap();
+        let height = NonZeroI32::new(HEIGHT).unwrap();
+        clip_to_buffer(rect, width, height)
+            .map(|rect| (rect.x, rect.y, rect.width.get(), rect.height.get()))
+    }
+
+    #[test]
+    fn rect_inside_the_buffer_is_kept() {
+        assert_eq!(clip(10, 20, 110, 70), Some((10, 20, 100, 50)));
+    }
+
+    #[test]
+    fn rect_covering_exactly_the_buffer_is_kept() {
+        assert_eq!(clip(0, 0, WIDTH, HEIGHT), Some((0, 0, 800, 600)));
+    }
+
+    #[test]
+    fn one_pixel_rects_in_the_corners_are_kept() {
+        assert_eq!(clip(0, 0, 1, 1), Some((0, 0, 1, 1)));
+        assert_eq!(
+            clip(WIDTH - 1, HEIGHT - 1, WIDTH, HEIGHT),
+            Some((799, 599, 1, 1))
+        );
+    }
+
+    #[test]
+    fn rect_larger_than_the_buffer_is_clipped_to_it() {
+        assert_eq!(clip(0, 0, 1000, 900), Some((0, 0, 800, 600)));
+        assert_eq!(clip(-50, -50, 1000, 900), Some((0, 0, 800, 600)));
+    }
+
+    #[test]
+    fn rect_crossing_an_edge_is_clipped_to_the_buffer() {
+        assert_eq!(clip(700, 500, 900, 700), Some((700, 500, 100, 100)));
+        assert_eq!(clip(-10, -20, 30, 40), Some((0, 0, 30, 40)));
+    }
+
+    #[test]
+    fn rect_outside_the_buffer_is_dropped() {
+        assert_eq!(clip(WIDTH, 0, WIDTH + 10, 10), None);
+        assert_eq!(clip(0, HEIGHT, 10, HEIGHT + 10), None);
+        assert_eq!(clip(-20, 0, 0, 10), None);
+        assert_eq!(clip(0, -20, 10, 0), None);
+        assert_eq!(clip(900, 700, 1000, 800), None);
+    }
+
+    #[test]
+    fn empty_or_inverted_rect_is_dropped() {
+        assert_eq!(clip(10, 10, 10, 50), None);
+        assert_eq!(clip(10, 10, 50, 10), None);
+        assert_eq!(clip(50, 50, 10, 10), None);
+    }
+
+    #[test]
+    fn extreme_coordinates_do_not_overflow() {
+        assert_eq!(
+            clip(i32::MIN, i32::MIN, i32::MAX, i32::MAX),
+            Some((0, 0, 800, 600))
+        );
+        assert_eq!(clip(i32::MAX, i32::MAX, i32::MIN, i32::MIN), None);
+        assert_eq!(clip(i32::MIN, i32::MIN, i32::MIN, i32::MIN), None);
+        assert_eq!(clip(i32::MAX, i32::MAX, i32::MAX, i32::MAX), None);
+    }
+}
diff --git a/src/lib.rs b/src/lib.rs
index 5fd3f778..a8ed6f35 100644
--- a/src/lib.rs
+++ b/src/lib.rs
@@ -376,6 +376,13 @@ impl Buffer<'_> {
     /// - Web
     ///
     /// Otherwise this is equivalent to [`Self::present`].
+    ///
+    /// ## Win32
+    ///
+    /// Parts of the window that the system asked to repaint, for example after the window was
+    /// restored from minimized, are presented from the buffer along with `damage` while that
+    /// request is still pending. To have them repainted when nothing else changed, present with
+    /// empty `damage` while handling the request (winit's `RedrawRequested`).
     pub fn present_with_damage(mut self, damage: &[Rect]) -> Result<(), SoftBufferError> {
         // Verify that pixels are set as opaque if the alpha mode requires it.
         if cfg!(debug_assertions) && self.alpha_mode == AlphaMode::Opaque {