Wash the potatoes and boil them covered with water. Cook the potatoes for about 20 minutes, drain them, let them cool down a little and peel them. Clean broccoli, divide into small florets and wash.
Cook broccoli in boiling salted water for about 5 minutes and drain. Melt the fat in a pot. Sweat flour in it. Deglaze with broth and cream while stirring. Stir in cheese. Let the sauce simmer for a few minutes.
Season to taste with salt, pepper and nutmeg. Add potatoes and broccoli to the sauce. Clean and wash the peppers, cut into fine cubes and add to the béchamel potatoes. Wash the parsley and, except for something to garnish, chop finely and sprinkle over the potatoes.
Garnish with parsley.