Cheesy Breakfast Stuffing Cakes

leftover stuffing

large egg (lightly beaten)

freshly grated mozzarella, (cheddar, or similar melty cheese)

extra virgin olive oil ( divided)

large eggs

Salt and pepper

Optional toppings: cooked bacon; (Canadian bacon or ham; leftover gravy; hollandaise sauce; sautéed spinach or mushrooms; chopped fresh herbs such as thyme, rosemary, parsley, or chives)