Boil cubed potatoes in salted water for 7 minutes until just soft. Drain and steam dry.
Heat olive oil in a large skillet over medium heat. Add onions and peppers, cooking for 10 minutes until caramelized.
Add chorizo to the pan, frying until crispy and fat renders. Remove and set aside, leaving the flavorful oil.
Add potatoes to the chorizo-flavored oil, frying for 3-4 minutes until crispy.
Return chorizo mixture to the pan, combine everything.
Create wells in the hash, crack eggs into them, and cook until whites set.