The compact, electric George Foreman grill is a great tool to have when a stove isn't available or just when you don't want to deal with the mess and bother of an oven top skillet. Though the grill is designed for cooking fare you'd more normally find at an outdoor barbecue, with a little modification and the proper technique, you can use it to cook several kinds of egg dishes.
Elevate the front of the grill. The George Foreman grill is built with a downward slope from the back of the grill to the front in order to allow grease to run off, but when cooking eggs, this can cause the uncooked egg to run off as well. Place coasters or the edge of a cutting board beneath the front two legs of the grill to lift the front legs so that the front of the grill is even or slightly higher than the back.
Prepare your eggs. For scrambled eggs or omelets, crack eggs into a bowl and mix with a fork and a dash of salt and pepper. Add a splash of water for scrambled eggs. For eggs over-easy, set the eggs by the grill in readiness to crack them directly onto the heat.
Grease the grill. Plug in the grill and rub it with butter or margarine once it starts to heat. Use a generous amount of grease, especially if you're cooking eggs over easy, as the "ribs" of the grill will make it more difficult to cleanly remove the eggs than it would with a flat skillet.
Let the grill heat to readiness. Test it by dropping a small amount of water on the hot area. When the water spatters the instant it touches, the grill is ready.
Deposit the eggs on the grill for cooking. Slowly pour the beaten egg mixture or crack the two eggs over the grill.
Add cheese if you're making an omelet. As the poured egg mixture cooks, sprinkle enough grated cheese to cover the top side of the egg.
Flip or stir the eggs. Stir scrambled eggs with a wooden or plastic spoon or spatula--do not use metal--as you would with skillet cooking. When flipping eggs over easy or folding an omelet, use the most flexible plastic spatula you can. Work the spatula carefully beneath the egg. Approach from the front in order to slide over the grill's ribs. If you have trouble, use two spatulas at once to get under both sides of the egg.