n a wide bowl, whisk your eggs, milk, nutmeg, and salt together.
Spread 1 tablespoon of mayonnaise on 2 bread slices and 1 tablespoon mustard on the other 2 bread slices. Now place one piece of Swiss Cheese on each slice of bread. Then layer each mayonnaise slice with 2 slices ham and 2 slices turkey. Bring the pieces of bread together to form 2 full sandwiches. Using a cutting board, gently compress the sandwich a bit.
Now melt 2 tablespoons butter in a large skillet over medium-low heat. Dip each sandwich in the egg mixture, turning to coat both sides. Add the sandwich to the hot skillet and cook until golden brown on both sides. Cover the pan with a loose piece of aluminum foil to make sure the cheese melts, and any egg mixture cooks through.
If desired, sprinkle with confectioners sugar and serve with a side of strawberry or raspberry jam.