Lightly beat the eggs with the milk. Stir in the salt, pepper, and paprika. Mix in the ham, onion, and green pepper.
Melt the butter or margarine in a frying pan over low heat. Swirl the butter around to coat the pan entirely.
Pour the egg mixture into the pan. Cook over low heat. After the omelet has been cooking for a few minutes, tilt the pan occasionally or lift the edges of the omelet with a spatula so that the uncooked egg runs underneath.
When the omelet is cooked evenly throughout, loosen the edges of the omelet with a spatula. Carefully slide the spatula underneath the omelet and fold it in half. If desired, fold 2 more times so that it forms a triangular shape. Slide the omelet onto a plate. Serve with ketchup, if desired.
Like Egg Foo Yung, Italian Frittata is a combination of an omelet and a pancake, filled with sautéed meat, cheese, or vegetables. Like the omelet, a frittata can be a hearty lunch or dinner as well as a breakfast dish. When preparing frittata, feel free to experiment with using different types of cheese, such as Swiss, Gruyère, or Emmental.
In a western omelet, the vegetables are added to the egg mixture before the egg is fried in the pan.