diff --git a/pineappl_py/src/fk_table.rs b/pineappl_py/src/fk_table.rs
index f03d1c79..f561b535 100644
--- a/pineappl_py/src/fk_table.rs
+++ b/pineappl_py/src/fk_table.rs
@@ -2,7 +2,7 @@ use pineappl::fk_table::{FkAssumptions, FkTable};
 use pineappl::grid::Grid;
 use pineappl::lumi::LumiCache;
 
-use numpy::{IntoPyArray, PyArray1, PyArray4};
+use numpy::{IntoPyArray, PyArray1, PyArray4, PyReadonlyArray1};
 use pyo3::prelude::*;
 
 use std::collections::HashMap;
@@ -11,6 +11,8 @@ use std::io::BufReader;
 use std::path::PathBuf;
 use std::str::FromStr;
 
+use crate::grid::PyGrid;
+
 /// PyO3 wrapper to :rustdoc:`pineappl::fk_table::FkTable <fk_table/struct.FkTable.html>`
 ///
 /// *Usage*: `pineko`, `yadism`
@@ -38,6 +40,13 @@ impl PyFkAssumptions {
 
 #[pymethods]
 impl PyFkTable {
+    #[new]
+    pub fn new(grid: PyGrid) -> Self {
+        Self {
+            fk_table: FkTable::try_from(grid.grid).unwrap(),
+        }
+    }
+
     #[staticmethod]
     pub fn read(path: PathBuf) -> Self {
         Self {
@@ -214,17 +223,24 @@ impl PyFkTable {
     /// -------
     ///     numpy.ndarray(float) :
     ///         cross sections for all bins
+    #[pyo3(signature = (pdg_id, xfx, bin_indices = None, lumi_mask= None))]
     pub fn convolute_with_one<'py>(
         &self,
         pdg_id: i32,
         xfx: &PyAny,
+        bin_indices: Option<PyReadonlyArray1<usize>>,
+        lumi_mask: Option<PyReadonlyArray1<bool>>,
         py: Python<'py>,
     ) -> &'py PyArray1<f64> {
         let mut xfx = |id, x, q2| f64::extract(xfx.call1((id, x, q2)).unwrap()).unwrap();
         let mut alphas = |_| 1.0;
         let mut lumi_cache = LumiCache::with_one(pdg_id, &mut xfx, &mut alphas);
         self.fk_table
-            .convolute(&mut lumi_cache, &[], &[])
+            .convolute(
+                &mut lumi_cache,
+                &bin_indices.map_or(vec![], |b| b.to_vec().unwrap()),
+                &lumi_mask.map_or(vec![], |l| l.to_vec().unwrap()),
+            )
             .into_pyarray(py)
     }
 
diff --git a/pineappl_py/tests/test_fk_table.py b/pineappl_py/tests/test_fk_table.py
new file mode 100644
index 00000000..88fdddb3
--- /dev/null
+++ b/pineappl_py/tests/test_fk_table.py
@@ -0,0 +1,40 @@
+import numpy as np
+
+import pineappl
+
+
+class TestFkTable:
+    def fake_grid(self, bins=None):
+        lumis = [pineappl.lumi.LumiEntry([(1, 21, 0.1)])]
+        orders = [pineappl.grid.Order(3, 0, 0, 0)]
+        bin_limits = np.array([1e-7, 1e-3, 1] if bins is None else bins, dtype=float)
+        subgrid_params = pineappl.subgrid.SubgridParams()
+        g = pineappl.grid.Grid.create(lumis, orders, bin_limits, subgrid_params)
+        return g
+
+    def test_convolute_with_one(self):
+        g = self.fake_grid()
+
+        # DIS grid
+        xs = np.linspace(0.5, 1.0, 5)
+        vs = xs.copy()
+        subgrid = pineappl.import_only_subgrid.ImportOnlySubgridV1(
+            vs[np.newaxis, :, np.newaxis],
+            np.array([90.0]),
+            xs,
+            np.array([1.0]),
+        )
+        g.set_subgrid(0, 0, 0, subgrid)
+        fk = pineappl.fk_table.FkTable(g)
+        np.testing.assert_allclose(
+            fk.convolute_with_one(2212, lambda pid, x, q2: 0.0, lambda q2: 0.0),
+            [0.0] * 2,
+        )
+        np.testing.assert_allclose(
+            fk.convolute_with_one(2212, lambda pid, x, q2: 1, lambda q2: 1.0),
+            [5e6 / 9999, 0.0],
+        )
+        np.testing.assert_allclose(
+            fk.convolute_with_one(2212, lambda pid, x, q2: 1, lambda q2: 2.0),
+            [2**3 * 5e6 / 9999, 0.0],
+        )