Boil your chestnuts for 30 minutes on medium heat. Clean them and cut them into medium-sized pieces.
Marinate your lamb chops with salt, pepper, and olive oil. Cook them in a grill pan on both sides until golden brown. Let them rest.
Saute the onion, peppers, and peeled chestnuts for about 5 minutes in your oil. Add wine.
Take a spoonful of the cooked mixture and melt it in the blender (this will help us to bind our sauce & make it more creamy). Add it to the rest and mix. The texture should be creamy.