Butterfly the chicken and flatten the pieces between plastic wrap. Lay one slice of ham and Swiss cheese on each chicken breast. Roll up and secure with a toothpick. Dip the chicken in flour, then beaten eggs, then in the breadcrumbs. Place the chicken rolls in a greased glass baking pan. Bake at 375 degrees for 40-45 minutes or until golden brown. Top with the Alfredo Sauce.
Combine the butter, onion, wine, and cream in a saucepan. Bring to a boil and simmer for 5 minutes, stirring constantly. Pour the sauce in equal amounts over each serving of Chicken Cordon Bleu. Grate fresh Parmesan over each serving.