1. Preheat a large oven-safe skillet (you might need two skillets if cooking all four portions at the same time) over low heat. Preheat the broiler too because you might need it.
2. Use a 2 and 1/2 inch diameter round cookie cutter to cut a hole out of the middle of each ham steak. Optionally panfry the ham steaks on both sides to brown them a little bit then remove them from the heat.
3. In a small bowl combine the mustard and maple syrup. Spread one side of each slice of bread with the butter and then the other side with the mustard mixture. Use the cookie cutter to cut a hole out of each slice of bread.
4. Spray the skillet with cooking spray. Put the bread slices butter-side-down in the heated pan. Top each with a ham steak and line up the holes. Crack an egg into each hole.
5. Cover the skillet and cook until bread is browned underneath and egg is cooked to desired doneness, 5-7 minutes. You may need to bump the heat up to medium to get things going but then keep your eye on it and turn it down so the bread doesn’t get to brown before the egg cooks. (Note, depending on your stovetop and skillet the bread might brown before the egg is set. If this happens, put the skillet under the broiler for a minute or two to quickly finish off the eggs.)

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