Preheat oven to 350 degrees
In a mixing bowl, whisk the eggs, sea salt, pepper and milk together until well blended
Cut slider buns in half, and place cut sides up on baking sheet. Place ham slices on bottom halves and cheese slices on top halves
Bake for 5 minutes, or until ham is warm and cheese starts to melt
Meanwhile, pour egg mixture into medium non-stick skillet, and stir frequently over medium heat until cooked through. Remove from heat
Remove buns from oven, and spoon scrambled eggs evenly over baked ham slices. Cover with top buns, and place in oven for additional 5 minutes, or until cheese is completely melted
Remove from oven, and serve