Preheat oven to 400°F. Grease a round cookie cutter with evoo.

If using leftover or cooled latkes, warm them in 400°F oven.

Add evoo to a large saute pan and place over medium high heat.

Place a cookie cutter in the pan. Gently pour egg into the center of the cookie cutter. Once the egg white is set, remove the cookie cutter and repeat. Top each egg with salt, pepper, and a slice of cheese. 

Cook until the cheese has melted but the yolks have not set. Remove from pan and sandwich between 2 latkes. Serve immediately.