To assemble the sandwiches, butter both sides of each bread slice. Lay ham and cheese on one slice and cover with the another slice. Trim the crusts off the sides.
Heat a saute pan over medium-low heat, then fry the sandwiches until the cheese starts to melt and the sandwiches are golden brown, about 3 minutes on each side. You may need to add more butter to the pan.
Remove the sandwiches to paper towels to drain, let them cool for 1 minute, then cut into quarters diagonally and serve 3 quarters each per serving.