diff --git a/library/src/layout/grid.rs b/library/src/layout/grid.rs
index 46518f82b..544b76ed8 100644
--- a/library/src/layout/grid.rs
+++ b/library/src/layout/grid.rs
@@ -482,6 +482,7 @@ impl<'a, 'v> GridLayouter<'a, 'v> {
     /// regions.
     fn layout_auto_row(&mut self, y: usize) -> SourceResult<()> {
         let mut resolved: Vec<Abs> = vec![];
+        let mut skip = false;
 
         // Determine the size for each region of the row.
         for (x, &rcol) in self.rcols.iter().enumerate() {
@@ -490,13 +491,15 @@ impl<'a, 'v> GridLayouter<'a, 'v> {
                 pod.first.x = rcol;
                 pod.base.x = rcol;
 
-                let mut sizes = cell
-                    .layout(self.vt, self.styles, pod)?
-                    .into_iter()
-                    .map(|frame| frame.height());
+                let frames = cell.layout(self.vt, self.styles, pod)?.into_frames();
+                if let [first, rest @ ..] = frames.as_slice() {
+                    skip |=
+                        first.is_empty() && rest.iter().any(|frame| !frame.is_empty());
+                }
 
                 // For each region, we want to know the maximum height any
                 // column requires.
+                let mut sizes = frames.iter().map(|frame| frame.height());
                 for (target, size) in resolved.iter_mut().zip(&mut sizes) {
                     target.set_max(size);
                 }
@@ -519,6 +522,12 @@ impl<'a, 'v> GridLayouter<'a, 'v> {
             return Ok(());
         }
 
+        // Skip the first region if it's empty for some cell.
+        if skip && !self.regions.in_last() {
+            self.finish_region()?;
+            resolved.remove(0);
+        }
+
         // Expand all but the last region if the space is not
         // eaten up by any fr rows.
         if self.fr.is_zero() {
diff --git a/tests/ref/bugs/grid-2.png b/tests/ref/bugs/grid-2.png
new file mode 100644
index 000000000..2d39e1867
Binary files /dev/null and b/tests/ref/bugs/grid-2.png differ
diff --git a/tests/ref/layout/grid-3.png b/tests/ref/layout/grid-3.png
index d9562e9a5..f6c178355 100644
Binary files a/tests/ref/layout/grid-3.png and b/tests/ref/layout/grid-3.png differ
diff --git a/tests/typ/bugs/grid-2.typ b/tests/typ/bugs/grid-2.typ
new file mode 100644
index 000000000..bdcdf548c
--- /dev/null
+++ b/tests/typ/bugs/grid-2.typ
@@ -0,0 +1,18 @@
+// Grid now skips a remaining region when one of the cells
+// doesn't fit into it at all.
+
+---
+#set page(height: 100pt)
+#grid(
+  columns: (2cm, auto),
+  rows: (auto, auto),
+  rect(width: 100%, fill: red),
+  rect(width: 100%, fill: blue),
+  rect(width: 100%, height: 80%, fill: green),
+  [Hello],
+)
+
+---
+#set page(height: 60pt)
+#lorem(5)
+- #lorem(5)