From Mexican Cooking at the Academy, California Culinary Academy. Sopaipillas are golden-fried puffs of dough. In new Mexico where they are popular, they are usually eaten with honey, as suggested here. Sopaipillas are also good served with soups, and at brunches, parties, and buffets. My DH and I love this recipe. Great to serve with Mexican food. We fill them with honey and sometimes make a salad in them with lettuce, tomato, avocado, salsa, and sour cream. Yummy! Cook time doesn't include 1 hour rest time.