Wash potatoes thoroughly and cook in boiling salted water for 20 minutes. In the meantime, grate cheese. Clean and wash broccoli, cut off florets and cook in boiling salted water for 15 minutes. Drain the potatoes, rinse them, peel them and cut them in half as desired.
Drain the broccoli and let it drain well on a sieve. Melt the fat in a pot, dust with flour, sauté, deglaze with cream, milk and stock, bring to the boil, add cheese and season with salt and pepper. Add potatoes and broccoli to the sauce and bring to the boil again. Serve in a bowl sprinkled with coloured pepper and garnished with parsley