Preheat the oven to 350 degrees. Prepare a large rimmed baking sheet with parchment paper spritzed with nonstick cooking spray.

In a large (12 inch) skillet over medium-high heat, melt the butter. Add the bell pepper and onion, cooking for 5 minutes or until the vegetables begin to soften. Stir in the ham and cook until the ham is heated through.

Sprinkle the ham mixture over the baking sheet. Top with the cheese.

In a mixing bowl, beat the eggs with milk until well blended, adding salt and black pepper as desired. Pour the eggs over the ham mixture.

Place in the oven and bake for 20 to 25 minutes or until the eggs are set and the edges are beginning to puff up.

Remove from the oven, cut into squares and serve.