Gather all your ingredients to streamline the cooking process.

In a skillet over medium heat, melt 1 tablespoon of butter.

Toast the bread slices on both sides until golden brown.

Add the ham slices to the skillet and cook for about 2 minutes on each side until heated through.

In a bowl, whisk the eggs with a pinch of salt and pepper.

Pour the whisked eggs into the skillet with the ham and stir gently over medium-low heat until the eggs are just set, about 3-4 minutes.

Sprinkle the shredded cheddar cheese over the scrambled eggs and ham and let it melt slightly.

Layer the egg and ham mixture on two slices of the toasted bread and top with the remaining slices.

In the same skillet, melt the remaining butter and grill the sandwiches on both sides until golden brown.