Boil the potatoes: Wash, peel, and cube the potatoes. Place them in a pot of salted water and boil them for 10-15 minutes or until just tender. Drain and set aside.
Cook the Mexican chorizo: Place a pan on medium-low heat and add the sausage meat. Cook, stirring to break up any clumps.
Do not let the meat become hard and overcooked.
Assemble the dish: Add the potatoes and the chilies and let the mixture cook over medium flame, stirring it from time to time until the potato has browned a little.