Preheat oven to 375 degrees.
In a mixing bowl, combine cream cheese, mozzarella and diced green chilies.
Line a baking sheet with aluminum foil and lay chicken breast flat on foil.
Using a spoon, scoop and place the filling on top of each chicken breast, dividing filling evenly.
Wrap each chicken breast in a slice of bacon, wrapping around the chicken and filling to hold it together.
Bake for 40 minutes or until chicken is cooked through and no longer pink.
Once chicken is cooked through, turn oven to broil and continue cooking until bacon is crispy and cheese is bubbly, about 5-8 minutes.