In a large skillet, brown sausage. remove with slotted spoon and place on paper towels, squeezing to remove as much grease as possible.
Discard grease from skillet. Return sausage to skillet, add salsa, cheeses, and green chiles and simmer until mixture thickens, about 5 minutes. Remove from heat and cool to room temperature.
Preheat oven to 350 degrees. Brush mini-muffin cups with olive oil. Press 1 wanton wrapper into each muffin cup. Fill each wrapper with 1 generous tablespoon of cooled sausage mixture. (May be prepared 4 hours in advance. Cover and chill.).
Bake until edges begin to brown, about 10 minutes. Transfer from muffin cups to baking sheet. Bake until bottoms are crisp, about 10 minutes longer.
Transfer to serving platter. Eat as is or garnish with salsa, melted cheese, sour cream, etc -- Serve hot.