diff --git a/MANIFEST.in b/MANIFEST.in
deleted file mode 100644
index 7c7baa2..0000000
--- a/MANIFEST.in
+++ /dev/null
@@ -1,11 +0,0 @@
-include README.rst LICENSE.txt CHANGES.txt pyproject.toml setup.py setup.cfg tox.ini
-recursive-include ppl *.pxd *.pyx *.py
-recursive-include tests  *.pyx *.py
-include ppl/ppl_shim.cc
-include ppl/ppl_shim.hh
-include docs/Makefile
-include docs/source/conf.py
-include docs/source/index.rst
-
-recursive-exclude ppl *.so *.c *.cpp
-recursive-exclude tests *.so *.c *.cpp
diff --git a/VERSION b/VERSION
new file mode 100644
index 0000000..ef50561
--- /dev/null
+++ b/VERSION
@@ -0,0 +1 @@
+0.8.10
diff --git a/meson.build b/meson.build
new file mode 100644
index 0000000..fb66543
--- /dev/null
+++ b/meson.build
@@ -0,0 +1,64 @@
+project('pplpy',
+  ['c', 'cpp', 'cython'],
+  version: files('VERSION'),
+  license: 'GPL v3',
+  default_options: ['cpp_std=c++17', 'python.install_env=auto'],
+  meson_version: '>=1.2',
+)
+
+# Python module
+# https://mesonbuild.com/Python-module.html
+py = import('python').find_installation(pure: false)
+
+# Compilers
+cc = meson.get_compiler('c')
+cpp = meson.get_compiler('cpp')
+cython = meson.get_compiler('cython')
+# Workaround as described in https://cython.readthedocs.io/en/latest/src/userguide/special_methods.html#arithmetic-methods
+add_project_arguments('-X c_api_binop_methods=True', language: 'cython')
+
+# Dependencies
+inc_cysignals = run_command(
+  py,
+  [
+    '-c',
+    '''
+from os.path import relpath
+import cysignals
+path = cysignals.__file__.replace('__init__.py', '')
+try:
+  print(relpath(path))
+except Exception:
+  print(path)
+    '''.strip(),
+  ],
+  check: true,
+).stdout().strip()
+cysignals = declare_dependency(include_directories: inc_cysignals)
+
+# Find gmpy2 include directory
+inc_gmpy2 = run_command(
+  py,
+  [
+    '-c',
+    '''
+from os.path import relpath
+import gmpy2
+path = gmpy2.__file__.replace('__init__.py', '')
+try:
+  print(relpath(path))
+except Exception:
+  print(path)
+    '''.strip(),
+  ],
+  check: true,
+).stdout().strip()
+gmpy2_dep = declare_dependency(include_directories: inc_gmpy2)
+
+# Find PPL library
+ppl = cpp.find_library('ppl', required: true)
+
+# Find GMP library
+gmp = cc.find_library('gmp', required: true)
+
+subdir('ppl')
diff --git a/ppl/meson.build b/ppl/meson.build
new file mode 100644
index 0000000..c47d182
--- /dev/null
+++ b/ppl/meson.build
@@ -0,0 +1,43 @@
+py.install_sources(
+  '__init__.py',
+  'bit_arrays.pxd',
+  'congruence.pxd',
+  'constraint.pxd',
+  'generator.pxd',
+  'linear_algebra.pxd',
+  'mip_problem.pxd',
+  'polyhedron.pxd',
+  'ppl_decl.pxd',
+  'ppl_shim.hh',
+  subdir: 'ppl'
+)
+
+# Shared C++ source file
+ppl_shim_lib = static_library(
+  'ppl_shim',
+  'ppl_shim.cc',
+  dependencies: [ppl, gmp],
+  cpp_args: [],
+)
+
+extension_data = {
+  'linear_algebra': files('linear_algebra.pyx'),
+  'mip_problem': files('mip_problem.pyx'),
+  'polyhedron': files('polyhedron.pyx'),
+  'generator': files('generator.pyx'),
+  'constraint': files('constraint.pyx'),
+  'congruence': files('congruence.pyx'),
+  'bit_arrays': files('bit_arrays.pyx'),
+}
+
+foreach name, pyx : extension_data
+  py.extension_module(
+    name,
+    sources: pyx,
+    subdir: 'ppl',
+    install: true,
+    dependencies: [cysignals, gmpy2_dep, ppl, gmp],
+    link_with: ppl_shim_lib,
+    override_options : ['cython_language=cpp'],
+  )
+endforeach
diff --git a/pyproject.toml b/pyproject.toml
index 5a92e93..3f3a6a3 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -1,11 +1,10 @@
 [build-system]
 requires = [
-    "setuptools>=61.2",
-    "Cython",
-    "cysignals",
-    "gmpy2>=2.1.0b1",
+    "meson-python>=0.18.0",
+    "Cython>=3.0",
+    "cysignals>=1.11.3",
 ]
-build-backend = "setuptools.build_meta"
+build-backend = "mesonpy"
 
 [project]
 name = "pplpy"
@@ -36,7 +35,7 @@ keywords = [
     "linear-programming",
 ]
 dependencies = [
-    "cysignals",
+    "cysignals>=1.11.3",
     "gmpy2>=2.1.0b1",
 ]
 dynamic = ["version"]
@@ -49,14 +48,3 @@ doc = [
 [project.urls]
 Homepage = "https://github.com/sagemath/pplpy"
 Download = "https://pypi.org/project/pplpy/#files"
-
-[tool.setuptools]
-packages = ["ppl"]
-platforms = ["any"]
-include-package-data = false
-
-[tool.setuptools.dynamic]
-version = {attr = "ppl.__version__"}
-
-[tool.setuptools.package-data]
-ppl = ["*.pxd", "*.h", "*.hh"]
diff --git a/setup.py b/setup.py
deleted file mode 100755
index ee4d84d..0000000
--- a/setup.py
+++ /dev/null
@@ -1,92 +0,0 @@
-#!/usr/bin/env python
-
-import os
-import sys
-
-from setuptools import setup, Command
-from setuptools.extension import Extension
-
-# NOTE: setuptools build_ext does not work properly with Cython code
-from distutils.command.build_ext import build_ext as _build_ext
-
-# Adapted from Cython's new_build_ext
-class build_ext(_build_ext):
-    def run(self):
-        # Check dependencies
-        try:
-            from Cython.Build.Dependencies import cythonize
-        except ImportError as E:
-            sys.stderr.write("Error: {0}\n".format(E))
-            sys.stderr.write("The installation of ppl requires Cython\n")
-            sys.exit(1)
-
-        try:
-            # We need the header files for cysignals at compile-time
-            import cysignals
-        except ImportError as E:
-            sys.stderr.write("Error: {0}\n".format(E))
-            sys.stderr.write("The installation of ppl requires cysignals\n")
-            sys.exit(1)
-
-        try:
-            # We need the header files for gmpy2 at compile-time
-            import gmpy2
-        except ImportError as E:
-            sys.stderr.write("Error: {0}\n".format(E))
-            sys.stderr.write("The installation of ppl requires gmpy2\n")
-            sys.exit(1)
-
-        self.extensions[:] = cythonize(
-            self.extensions,
-            include_path=sys.path,
-            compiler_directives={'embedsignature': True,
-                                 'language_level': '3'})
-
-        _build_ext.run(self)
-
-class TestCommand(Command):
-    user_options = []
-
-    def initialize_options(self):
-        pass
-
-    def finalize_options(self):
-        pass
-
-    def run(self):
-        import subprocess, os, tempfile, shutil
-
-        old_path = os.getcwd()
-        tempdir_path = tempfile.mkdtemp()
-        try:
-            shutil.copytree('./tests', tempdir_path, dirs_exist_ok=True)
-            os.chdir(tempdir_path)
-
-            if subprocess.call([sys.executable, 'runtests.py']):
-                raise SystemExit("Doctest failures")
-
-            if subprocess.call([sys.executable, 'setup.py', 'build_ext', '--inplace']) or \
-                    subprocess.call([sys.executable, '-c', "import testpplpy; testpplpy.test(); testpplpy.example()"]):
-                raise SystemExit("Cython test 1 failure")
-
-            if subprocess.call([sys.executable, 'setup2.py', 'build_ext', '--inplace']) or \
-                    subprocess.call([sys.executable, '-c', "import testpplpy2; testpplpy2.test(); testpplpy2.example()"]):
-                raise SystemExit("Cython test 2 failure")
-        finally:
-            os.chdir(old_path)
-            shutil.rmtree(tempdir_path)
-
-extensions = [
-    Extension('ppl.linear_algebra', sources=['ppl/linear_algebra.pyx', 'ppl/ppl_shim.cc']),
-    Extension('ppl.mip_problem', sources=['ppl/mip_problem.pyx', 'ppl/ppl_shim.cc']),
-    Extension('ppl.polyhedron', sources = ['ppl/polyhedron.pyx', 'ppl/ppl_shim.cc']),
-    Extension('ppl.generator', sources = ['ppl/generator.pyx', 'ppl/ppl_shim.cc']),
-    Extension('ppl.constraint', sources = ['ppl/constraint.pyx', 'ppl/ppl_shim.cc']),
-    Extension('ppl.congruence', sources=['ppl/congruence.pyx', 'ppl/ppl_shim.cc']),
-    Extension('ppl.bit_arrays', sources = ['ppl/bit_arrays.pyx', 'ppl/ppl_shim.cc']),
-    ]
-
-setup(
-    ext_modules = extensions,
-    cmdclass = {'build_ext': build_ext, 'test': TestCommand},
-)