diff --git a/.fmf/version b/.fmf/version
new file mode 100644
index 0000000..d00491f
--- /dev/null
+++ b/.fmf/version
@@ -0,0 +1 @@
+1
diff --git a/.gitignore b/.gitignore
index 5978d3e..8ea4881 100644
--- a/.gitignore
+++ b/.gitignore
@@ -1,70 +1 @@
-Cython-0.12.1.tar.gz
-/Cython-0.13.tar.gz
-/Cython-0.14.tar.gz
-/Cython-0.14.1.tar.gz
-/Cython-0.15.tar.gz
-/Cython-0.15.1.tar.gz
-/Cython-0.16.tar.gz
-/Cython-0.17b3.tar.gz
-/Cython-0.17.tar.gz
-/Cython-0.17.1.tar.gz
-/Cython-0.17.2.tar.gz
-/Cython-0.17.3.tar.gz
-/Cython-0.18.tar.gz
-/Cython-0.19.tar.gz
-/Cython-0.19.2.tar.gz
-/Cython-0.20.tar.gz
-/Cython-0.20.1.tar.gz
-/Cython-0.21.tar.gz
-/Cython-0.21.1.tar.gz
-/Cython-0.22.tar.gz
-/Cython-0.23.tar.gz
-/Cython-0.23.4.tar.gz
-/Cython-0.24.1.tar.gz
-/Cython-0.25.2.tar.gz
-/Cython-0.27.1.tar.gz
-/Cython-0.27.3.tar.gz
-/Cython-0.28.1.tar.gz
-/Cython-0.28.4.tar.gz
-/Cython-0.28.5.tar.gz
-/Cython-0.29~rc2.tar.gz
-/Cython-0.29.tar.gz
-/Cython-0.29.1.tar.gz
-/Cython-0.29.3.tar.gz
-/Cython-0.29.5.tar.gz
-/Cython-0.29.6.tar.gz
-/Cython-0.29.7.tar.gz
-/Cython-0.29.9.tar.gz
-/Cython-0.29.10.tar.gz
-/Cython-0.29.11.tar.gz
-/Cython-0.29.12.tar.gz
-/Cython-0.29.13.tar.gz
-/Cython-0.29.14.tar.gz
-/Cython-0.29.15.tar.gz
-/Cython-0.29.16.tar.gz
-/Cython-0.29.17.tar.gz
-/Cython-0.29.19.tar.gz
-/Cython-0.29.21.tar.gz
-/Cython-0.29.22.tar.gz
-/Cython-0.29.24.tar.gz
-/Cython-0.29.26.tar.gz
-/Cython-0.29.28.tar.gz
-/Cython-0.29.29.tar.gz
-/Cython-0.29.30.tar.gz
-/Cython-0.29.32.tar.gz
-/Cython-0.29.33.tar.gz
-/Cython-0.29.34.tar.gz
-/Cython-0.29.35.tar.gz
-/Cython-3.0.0a11.tar.gz
-/Cython-3.0.0b1.tar.gz
-/Cython-3.0.0b2.tar.gz
-/Cython-3.0.0b3.tar.gz
-/Cython-3.0.0rc2.tar.gz
-/Cython-3.0.0.tar.gz
-/Cython-3.0.2.tar.gz
-/Cython-3.0.3.tar.gz
-/Cython-3.0.4.tar.gz
-/Cython-3.0.5.tar.gz
-/Cython-3.0.6.tar.gz
-/Cython-3.0.8.tar.gz
-/Cython-3.0.9.tar.gz
+/Cython-*.tar.gz
diff --git a/Cython.spec b/Cython.spec
index 9c0274c..b46e0f2 100644
--- a/Cython.spec
+++ b/Cython.spec
@@ -5,7 +5,7 @@
 %bcond cython_compile 1
 
 Name:           Cython
-Version:        3.0.9
+Version:        3.2.4
 Release:        %autorelease
 Summary:        Language for writing Python extension modules
 
@@ -23,16 +23,15 @@ BuildRequires:  python3-test
 # the Python tests requirements are curated manually
 # the test-requirements*.txt files mix in coverage and optional deps
 BuildRequires:  python3-numpy
-BuildRequires:  python3-pythran
 %if %{undefined rhel}
-# We don't want to pull in ipython to RHEL just to run more tests.
-# The tests use IPython.testing.globalipapp
+# We don't want to pull in the following deps to RHEL just to run more tests.
+# The tests use IPython.testing.globalipapp:
 BuildRequires:  python3-ipython+test
+BuildRequires:  python3-pythran
 # The tests requiring jedi are optional and skipped when jedi is not installed.
 # Note that the jedi tests were forcefully disabled a long time ago,
 # in https://github.com/cython/cython/issues/1845 far, far away.
 # We keep the dependency here so we don't forget to re-add it once the balance is restored.
-# We don't want to pull in jedi to RHEL just to potentially run more tests.
 BuildRequires:  python3-jedi
 %endif
 %endif
@@ -97,21 +96,31 @@ Provides:       bundled(python3dist(tempita))
 
 %if %{with tests}
 %check
+%if 0%{?__isa_bits} < 64
+# On 32-bit platforms, with their inherent ~4GB/process address space
+# limitation, at least test_many_expressions fails due to memory exhaustion
+# unless we reduce the debuginfo level (RHBZ#2339845).
+export CFLAGS="${CFLAGS} -g1"
+%endif
+
 # run.pstats_profile_test* fails on Python 3.12
 #   https://github.com/cython/cython/issues/5470
+# run.numpy_parallel fails on i686
+#   https://github.com/cython/cython/issues/6200
 # run.parallel fails on i686
 #   https://github.com/cython/cython/issues/2807
 %{python3} runtests.py -vv --no-pyregr %{?_smp_mflags} \
   --exclude 'run.pstats_profile_test*' \
   %ifarch %{ix86}
   --exclude run.parallel \
+  --exclude run.numpy_parallel \
   %endif
 
 %endif
 
 
 %files -n python3-cython -f %{pyproject_files}
-%doc *.txt Demos Doc Tools
+%doc README.rst CHANGES.rst USAGE.txt Demos Doc Tools
 %{_bindir}/cython
 %{_bindir}/cygdb
 %{_bindir}/cythonize
diff --git a/plan.fmf b/plan.fmf
new file mode 100644
index 0000000..890b3bb
--- /dev/null
+++ b/plan.fmf
@@ -0,0 +1,5 @@
+discover:
+    how: fmf
+    dist-git-source: true
+execute:
+    how: tmt
diff --git a/sources b/sources
index dda1595..eca0943 100644
--- a/sources
+++ b/sources
@@ -1 +1 @@
-SHA512 (Cython-3.0.9.tar.gz) = 7899474882faab14716973783bbb46b981eab48192791acbbd06133efee83bfa9ace0e9a0272b0a44061a95ed94cdceaa98c4100f843220f5987791e36fa00e6
+SHA512 (Cython-3.2.4.tar.gz) = 5ab8e39739a79debbe89b2ff5b6d88e1b7aafd5ad34460f14f3fc2bd90c10bdc9d6aa5b5844a48e30402dde9790cb9abcba3dc2b4e8cde24c4eeee818a180099
diff --git a/tests/smoke/helloworld.pyx b/tests/smoke/helloworld.pyx
new file mode 100644
index 0000000..ad35e5a
--- /dev/null
+++ b/tests/smoke/helloworld.pyx
@@ -0,0 +1 @@
+print("Hello World")
diff --git a/tests/smoke/main.fmf b/tests/smoke/main.fmf
new file mode 100644
index 0000000..91811aa
--- /dev/null
+++ b/tests/smoke/main.fmf
@@ -0,0 +1,9 @@
+summary: smoke test
+test: ./runtest.sh
+framework: beakerlib
+require:
+  - gcc
+  - python3-devel
+  - python3-cython
+  - python3-setuptools
+duration: 10m
diff --git a/tests/smoke/runtest.sh b/tests/smoke/runtest.sh
new file mode 100755
index 0000000..a38c525
--- /dev/null
+++ b/tests/smoke/runtest.sh
@@ -0,0 +1,41 @@
+#!/bin/bash
+# vim: dict+=/usr/share/beakerlib/dictionary.vim cpt=.,w,b,u,t,i,k
+# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+#
+#   runtest.sh of /CoreOS/Cython/Sanity/smoke
+#   Description: smoke test
+#   Author: Jan Kepler <jkepler@redhat.com>
+#
+# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+#
+#   Copyright (c) 2017 Red Hat, Inc.
+#
+#   This program is free software: you can redistribute it and/or
+#   modify it under the terms of the GNU General Public License as
+#   published by the Free Software Foundation, either version 2 of
+#   the License, or (at your option) any later version.
+#
+#   This program is distributed in the hope that it will be
+#   useful, but WITHOUT ANY WARRANTY; without even the implied
+#   warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
+#   PURPOSE.  See the GNU General Public License for more details.
+#
+#   You should have received a copy of the GNU General Public License
+#   along with this program. If not, see http://www.gnu.org/licenses/.
+#
+# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+
+# Include Beaker environment
+. /usr/share/beakerlib/beakerlib.sh || exit 1
+set -o pipefail
+
+PYTHON="${PYTHON:-python3}"
+
+rlJournalStart
+    rlPhaseStartTest
+        rlRun "$PYTHON setup.py build_ext --inplace" 0 "Building Cython file"
+        rlRun "$PYTHON -c 'import helloworld' | tee output.log" 0 "Running Cython file"
+        rlAssertGrep "Hello World" "output.log"
+    rlPhaseEnd
+rlJournalPrintText
+rlJournalEnd
diff --git a/tests/smoke/setup.py b/tests/smoke/setup.py
new file mode 100644
index 0000000..2cc6bec
--- /dev/null
+++ b/tests/smoke/setup.py
@@ -0,0 +1,6 @@
+from setuptools import setup
+from Cython.Build import cythonize
+
+setup(
+    ext_modules = cythonize("helloworld.pyx")
+)
diff --git a/tests/testsuite/main.fmf b/tests/testsuite/main.fmf
new file mode 100644
index 0000000..608f3c9
--- /dev/null
+++ b/tests/testsuite/main.fmf
@@ -0,0 +1,20 @@
+summary: upstream testsuite
+require:
+  - gcc
+  - gcc-c++
+  - gdb
+  - python3-devel
+  - python3-test
+  - python3-cython
+  - python3-setuptools
+  - python3-pip
+  - python3-numpy
+  - python3-pytest
+  - blas-devel  # for pythran
+  # ipython and pythran installed from PyPI, not available in RHEL
+  # Add ipython again when upstream resolves https://github.com/cython/cython/issues/7075
+test: |
+  pip install pythran==0.18.0 &&
+  cd $(dirname $TMT_SOURCE_DIR/cython-*/tests) &&
+  python3 runtests.py -vv --no-pyregr --exclude 'run.pstats_profile_test*'
+duration: 240m