HEAT oil in large nonstick skillet on medium-high heat. Add chicken to skillet; cook 10 min. or until evenly browned, turning occasionally.
COMBINE tomatoes and tomato paste; pour over chicken. Add peppers; cover. Simmer on medium-low heat 20 min. or until chicken is done (165°F), stirring occasionally.
REMOVE from heat. Stir in Parmesan. Top with shredded cheese; let stand, covered, until melted.