diff --git a/.github/workflows/publish.yml b/.github/workflows/publish.yml
index 676f32cd..1aa34077 100644
--- a/.github/workflows/publish.yml
+++ b/.github/workflows/publish.yml
@@ -1,3 +1,11 @@
+# This workflow is triggered by a new release on GitHub and then uploads
+# MulensModel package to PyPI.
+#
+# If the publish step finishes succesfully, the source distribution is
+# guaranteed to be published. Binary distributions are published only if
+# their respective build steps passes. If any binary distribution fails,
+# package maintainers may manually debug, build, and publish without the
+# automated workflow.
 name: Upload Python Package to PyPI
 
 on:
@@ -5,8 +13,38 @@ on:
     types: [published]
 
 jobs:
-  publish:
+  build_binary_manylinux:
+    runs-on: ubuntu-latest
+    container: quay.io/pypa/manylinux_2_24_x86_64
+
+    strategy:
+      matrix:
+        python-version:
+          - cp37-cp37m
+          - cp38-cp38
+          - cp39-cp39
+          - cp310-cp310
+
+    steps:
+    - uses: actions/checkout@v2
+
+    - name: Build Python wheels
+      # Build linux wheels with the image then use auditwheel
+      # to convert to it a manylinux wheel.
+      env:
+        PYTHON_VERSION: ${{ matrix.python-version }}
+      run: |
+         /opt/python/$PYTHON_VERSION/bin/python -m build --wheel
+         find dist/ -type f -name *.whl | xargs -L 1 auditwheel repair --wheel-dir dist/
+
+    - uses: actions/upload-artifact@v2
+      # Only upload manylinux wheels to artifact.
+      # Normal linux wheels is not allowed in PyPI
+      with:
+        name: dist
+        path: dist/*manylinux*.whl
 
+  build_source:
     runs-on: ubuntu-latest
 
     steps:
@@ -15,7 +53,7 @@ jobs:
     - name: Set up Python
       uses: actions/setup-python@v2
       with:
-        python-version: "3.9"
+        python-version: "3.10"
 
     - name: Install dependencies
       run: |
@@ -25,6 +63,25 @@ jobs:
     - name: Build package
       run: python setup.py sdist
 
+    - uses: actions/upload-artifact@v2
+      with:
+        name: dist
+        path: dist/*.tar.gz
+
+  publish:
+    # Publish to PyPI and update GitHub release
+    # Here we require only the source build to start publishing
+    needs: [build_source]
+    runs-on: ubuntu-latest
+
+    steps:
+    - uses: actions/checkout@v2
+
+    - uses: actions/download-artifact@v2
+      with:
+        name: dist
+        path: dist/
+
     - name: Publish package to PyPI
       # All files in dist/ are published
       uses: pypa/gh-action-pypi-publish@release/v1
diff --git a/pyproject.toml b/pyproject.toml
index 374b58cb..8d91941b 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -1,6 +1,6 @@
 [build-system]
 requires = [
-    "setuptools>=42",
+    "setuptools",
     "wheel"
 ]
 build-backend = "setuptools.build_meta"