diff --git a/.github/workflows/buildwheel.yml b/.github/workflows/buildwheel.yml
index 461d2a0a..2feefa5f 100644
--- a/.github/workflows/buildwheel.yml
+++ b/.github/workflows/buildwheel.yml
@@ -46,7 +46,10 @@ jobs:
         env:
           # override setting in pyproject.toml to use msys2 instead of msys64 bash
           CIBW_BEFORE_ALL_WINDOWS: msys2 -c bin/cibw_before_all_windows.sh
-          CIBW_BEFORE_BUILD_WINDOWS: pip install delvewheel && msys2 -c bin/cibw_before_build_windows.sh
+          #
+          # Don't need to create pythonXX.a under meson. Not needed any more:
+          #   CIBW_BEFORE_BUILD_WINDOWS: pip install delvewheel && msys2 -c bin/cibw_before_build_windows.sh
+          #
 
       - uses: actions/upload-artifact@v4
         with:
@@ -109,7 +112,7 @@ jobs:
         os: [ubuntu-20.04, windows-2019, macos-13, macos-14]
         # This list to be kept in sync with cibuildwheel config
         # and python-requires in pyproject.toml.
-        python-version: ['3.10', '3.11', '3.12', '3.13-dev']
+        python-version: ['3.10', '3.11', '3.12', '3.13-dev', 'pypy3.10']
 
     steps:
       - uses: actions/setup-python@v5
diff --git a/bin/cibw_before_build_windows.sh b/bin/cibw_before_build_windows.sh
index ee0621f2..1ef83fda 100644
--- a/bin/cibw_before_build_windows.sh
+++ b/bin/cibw_before_build_windows.sh
@@ -1,5 +1,10 @@
 #!/bin/bash
 
+#
+# This script was previously needed to make libpythonXX.a on Windows when using
+# MinGW and setuptools. This is no longer needed now that we use meson.
+#
+
 set -o errexit
 
 # Uncomment this to run cibuildwheel locally on Windows:
diff --git a/bin/cibw_repair_wheel_command_windows.sh b/bin/cibw_repair_wheel_command_windows.sh
index 0c843d31..b247b406 100755
--- a/bin/cibw_repair_wheel_command_windows.sh
+++ b/bin/cibw_repair_wheel_command_windows.sh
@@ -4,6 +4,12 @@
 #
 # https://github.com/scipy/scipy/blob/main/tools/wheels/repair_windows.sh
 
+#
+# This was previously needed because delvewheel would reject wheels with
+# binaries generated by MinGW unless they had been stripped. This is not needed
+# any more with newer versions of delvewheel.
+#
+
 set -o errexit
 
 # Uncomment this to run cibuildwheel locally on Windows:
diff --git a/pyproject.toml b/pyproject.toml
index 52abe5ff..d183220d 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -58,7 +58,7 @@ package = "flint"
 [tool.cibuildwheel]
 # requires-python needs to keep in sync with this and also the list of Python
 # versions the wheels are tested against in CI.
-build = "cp310-* cp311-* cp312-* cp313-*"
+build = "cp310-* cp311-* cp312-* cp313-* pp310-*"
 skip = "*-win32 *-manylinux_i686 *-musllinux_*"
 
 # This is needed for free-threaded wheels:
@@ -90,5 +90,18 @@ before-all = "bin/cibw_before_all_macosx_$(uname -m).sh"
 
 [tool.cibuildwheel.windows]
 before-all = "C:\\msys64\\usr\\bin\\bash bin/cibw_before_all_windows.sh"
-before-build = "pip install delvewheel && C:\\msys64\\usr\\bin\\bash bin/cibw_before_build_windows.sh"
-repair-wheel-command = "bin\\cibw_repair_wheel_command_windows.bat {dest_dir} {wheel}"
+before-build = "pip install delvewheel"
+repair-wheel-command = "delvewheel repair -w {dest_dir} {wheel} --add-path .local/bin"
+
+# Previously with setuptools and MinGW it was necessary to run
+# bin/cibw_before_build_windows.sh before building the wheel to create the
+# libpython*.a files. This is no longer necessary now meson is used:
+#
+#   before-build = "pip install delvewheel && C:\\msys64\\usr\\bin\\bash bin/cibw_before_build_windows.sh"
+#
+# Previously a custom delvewheel command was needed because delvewheel would
+# reject binaries created with MinGW unless they had been stripped. This is not
+# needed any more with newer versions of delvewheel:
+#
+#   repair-wheel-command = "bin\\cibw_repair_wheel_command_windows.bat {dest_dir} {wheel}"
+#