Heat grill to medium heat.
Combine mozzarella and 1/4 cup Parmesan. Cut 3 Singles in half. Cook pasta in large saucepan as directed on package, omitting salt.
Meanwhile, grill chicken 6 to 8 min. on each side or until done. Top each breast with 1 Tbsp. pasta sauce, about 1-1/2 Tbsp. of the mozzarella mixture and 1 Singles piece. Grill 1 min. or until cheeses are melted. Remove from grill; cover to keep warm.
Drain pasta; return to pan. Stir in remaining sauce and Singles; cook and stir 3 min. or until sauce is heated through and Singles are melted.
Spoon pasta onto platter; top with chicken, remaining Parmesan and basil.