In a small bowl combine the mustard, mayo, and horseradish. Spread the sauce on eight slices of bread and place one slice of Swiss cheese on all eight slices. Add a slice of ham, turkey and pickle on four of the bread slices, then top with the remaining turkey then ham and top with the bread slice with just the cheese.
In a shallow dish, whisk together the eggs and the milk.
Heat a large skillet or griddle over medium heat. Add the butter and melt. Turn the sandwiches in the egg and milk mixture and add them to the pan. Cook for 3-4 minutes on each side, until deep golden brown.
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