Combine ham, cheese, black pepper, salt, egg whites, and eggs, stirring well with a whisk.
Heat a 9-inch nonstick skillet coated with cooking spray over medium-high heat. Add onion, bell pepper, and asparagus; sauté 3 minutes. Add egg mixture; reduce heat to medium. Cook, covered, 3 minutes or until almost set. Sprinkle with 1/4 teaspoon Italian seasoning. Wrap handle of pan with foil; broil 3 minutes or until egg is set. Cut into 4 wedges.