HEAT oil in large nonstick skillet on medium-high heat. Add chicken; cook 10 min. or until lightly browned on both sides, turning occasionally.
ADD tomatoes with their liquid and the tomato paste; mix well. Stir in the peppers; cover. Reduce heat to medium-low; simmer 20 min. or until chicken is cooked through (180°F), stirring occasionally.
REMOVE from heat. Stir in Parmesan cheese; sprinkle with shredded cheese. Let stand until cheese is melted.