diff --git a/crates/typst/src/layout/flow.rs b/crates/typst/src/layout/flow.rs
index 8701d35d9..662cf6804 100644
--- a/crates/typst/src/layout/flow.rs
+++ b/crates/typst/src/layout/flow.rs
@@ -253,7 +253,7 @@ impl<'a> FlowLayouter<'a> {
         }
 
         if let Some(first) = lines.first() {
-            if !self.regions.size.y.fits(first.height()) && !self.regions.in_last() {
+            while !self.regions.size.y.fits(first.height()) && !self.regions.in_last() {
                 let carry: Vec<_> = self.items.drain(sticky..).collect();
                 self.finish_region(engine, false)?;
                 for item in carry {
@@ -400,7 +400,7 @@ impl<'a> FlowLayouter<'a> {
             FlowItem::Fractional(_) => {}
             FlowItem::Frame { ref frame, movable, .. } => {
                 let height = frame.height();
-                if !self.regions.size.y.fits(height) && !self.regions.in_last() {
+                while !self.regions.size.y.fits(height) && !self.regions.in_last() {
                     self.finish_region(engine, false)?;
                 }
 
@@ -613,7 +613,7 @@ impl<'a> FlowLayouter<'a> {
         self.initial = self.regions.size;
         self.has_footnotes = false;
 
-        // Try to place floats.
+        // Try to place floats into the next region.
         for item in std::mem::take(&mut self.pending_floats) {
             self.layout_item(engine, item)?;
         }
diff --git a/tests/ref/bugs/2595-float-overlap.png b/tests/ref/bugs/2595-float-overlap.png
new file mode 100644
index 000000000..6d8eaf941
Binary files /dev/null and b/tests/ref/bugs/2595-float-overlap.png differ
diff --git a/tests/ref/bugs/2715-float-order.png b/tests/ref/bugs/2715-float-order.png
index 76e6db9e6..0a4f8812e 100644
Binary files a/tests/ref/bugs/2715-float-order.png and b/tests/ref/bugs/2715-float-order.png differ
diff --git a/tests/typ/bugs/2595-float-overlap.typ b/tests/typ/bugs/2595-float-overlap.typ
new file mode 100644
index 000000000..7c7f68c93
--- /dev/null
+++ b/tests/typ/bugs/2595-float-overlap.typ
@@ -0,0 +1,13 @@
+#set page(height: 80pt)
+
+Start.
+
+#place(auto, float: true, [
+  #block(height: 100%, width: 100%, fill: aqua)
+])
+
+#place(auto, float: true, [
+  #block(height: 100%, width: 100%, fill: red)
+])
+
+#lorem(20)
diff --git a/tests/typ/bugs/2715-float-order.typ b/tests/typ/bugs/2715-float-order.typ
index f6ac6219b..af0684a1c 100644
--- a/tests/typ/bugs/2715-float-order.typ
+++ b/tests/typ/bugs/2715-float-order.typ
@@ -1,4 +1,4 @@
-#set page(height: 170pt)
+#set page(height: 180pt)
 #set figure(placement: auto)
 
 #figure(