diff --git a/.github/workflows/CI.yml b/.github/workflows/CI.yml
index 3bca275..578b166 100644
--- a/.github/workflows/CI.yml
+++ b/.github/workflows/CI.yml
@@ -12,6 +12,50 @@ env:
   MACOSX_DEPLOYMENT_TARGET: 14.0
 
 jobs:
+  Run_standalone_tests_with_GFortran:
+    name: "Run standalone tests with GFortran"
+    runs-on: ${{ matrix.os }}
+    strategy:
+      matrix:
+        os: ["macos-latest", "ubuntu-20.04"]
+    steps:
+      - uses: actions/checkout@v4
+
+      - name: Setup Micromamba
+        uses: mamba-org/setup-micromamba@v2.0.2
+        with:
+          micromamba-version: '2.0.4-0'
+          environment-file: ci/environment_gfortran.yml
+
+      - name: Run standalone tests with GFortran with and without optimization
+        shell: bash -e -x -l {0}
+        run: |
+          cd tests
+          FC="gfortran" ./run_tests.sh
+          FC="gfortran -O3 -march=native" ./run_tests.sh
+
+  Run_standalone_tests_with_LFortran:
+    name: "Run standalone tests with LFortran"
+    runs-on: ${{ matrix.os }}
+    strategy:
+      matrix:
+        os: ["macos-latest", "ubuntu-20.04"]
+    steps:
+      - uses: actions/checkout@v4
+
+      - name: Setup Micromamba
+        uses: mamba-org/setup-micromamba@v2.0.2
+        with:
+          micromamba-version: '2.0.4-0'
+          environment-file: ci/environment_lfortran.yml
+
+      - name: Run standalone tests with LFortran with and without optimization
+        shell: bash -e -x -l {0}
+        run: |
+          cd tests
+          FC="lfortran" ./run_tests.sh
+          FC="lfortran --fast" ./run_tests.sh
+
   Compile_POT3D_with_GFortran:
     name: "Build POT3D and validate with GFortran"
     runs-on: ${{ matrix.os }}
diff --git a/tests/run_tests.sh b/tests/run_tests.sh
new file mode 100755
index 0000000..18e1b1d
--- /dev/null
+++ b/tests/run_tests.sh
@@ -0,0 +1,32 @@
+set -ex
+
+MPIEXEC=${CONDA_PREFIX}/bin/mpiexec
+
+if [[ "$(uname)" == "Linux" ]]; then
+  CC=gcc
+else
+  CC=clang
+fi
+
+$CC -I$CONDA_PREFIX/include -c ../src/mpi_wrapper.c
+$FC -c ../src/mpi_c_bindings.f90
+$FC -c ../src/mpi.f90
+
+for file in *.f90; do
+  filename=$(basename "$file" .f90)
+  # TODO: currently "allreduce.f90" fails to compile, hence
+  # we skip that test for now
+  if [ "$filename" == "allreduce" ]; then
+    continue
+  fi
+  $FC -c $file
+  $FC mpi_wrapper.o mpi_c_bindings.o mpi.o $filename.o -o $filename -L$CONDA_PREFIX/lib -lmpi -Wl,-rpath,$CONDA_PREFIX/lib
+
+  echo "Running $filename with 1 MPI rank..."
+  ${MPIEXEC} -np 1 $filename
+  echo "Done!"
+
+  echo "Running $filename with 2 MPI rank..."
+  ${MPIEXEC} -np 2 $filename
+  echo "Done!"
+done