Bring cheeses to room temperature. Mix them together in a bowl with a fork.
Cut crust off of 20 bread slices and roll each slice with a rolling pin until thin.
Spread cheese mixture on bread slice, place 1 asparagus spear at one end, and roll it up.
Dunk the asparagus "roll" in melted butter; place on a cookie sheet.
When you've rolled and dipped all 20 slices, place the rolls in the freezer for 1 hour. Then remove the rolls and cut them into thirds. (If you are making them for a future date, place in freezer bags and freeze until ready to use.)
Place asparagus rolls onto ungreased cookie sheet and bake for 15 minutes.