Trim the crusts from each slice of bread. Roll one slice out to about 1/8-inch thickness with a rolling pin. Sprinkle the rolled out slice with about 2 tablespoons shredded cheese. Roll up tightly. Repeat with remaining bread slices and shredded cheese.

Place 2 tablespoons butter in a large non-stick saute pan and melt over medium heat.

Melt remaining 4 tablespoons butter in a shallow bowl in the microwave. Dip one roll up at a time in the melted butter in the shallow bowl and then transfer to the saute pan. Allow roll ups to saute for 1-2 minutes per side until golden brown and buttery crisp on the outside. Remove to a serving platter.

Serve with tomato sauce, tomato soup or ranch dressing for dipping, if desired.