PREHEAT oven to 350°F. Lightly grease 2-qt. souffle dish. Add Parmesan cheese; gently shake dish until side and bottom of dish are evenly coated with the cheese. Set aside. Bring milk just to boil in large saucepan on medium heat. Gradually add cereal, stirring constantly with wire whisk after each addition until well blended. Cook 1 min., stirring constantly. Remove from heat; cover. Let stand 4 min. Stir in spinach and Swiss cheese.
BEAT eggs in medium bowl with electric mixer on high speed 5 min. or until foamy. Add to spinach mixture; stir gently until well blended. Pour into prepared souffle dish.
BAKE 30 to 40 min. or until puffed and golden brown. Serve immediately.