Preheat oven to 350 degrees.
Melt butter, and combine with dried onions, sugar, mustard, and poppyseeds.
Horizontally slice Hawaiian rolls.
Place bottom layer of Hawaiian rolls on a baking sheet, and layer with shaved ham and cheese.
Spoon half of melted butter mixture onto cheese, and place top layer of rolls on top.
Brush or spoon second half of melted butter mixture on top of rolls.
Bake for 12 to 15 minutes, or until cheese is melted and rolls are golden brown.
Cool for 5 to 8 minutes, slice, and serve.