In a large bowl, whisk eggs, onion and pepper. Stir in potatoes, turkey and stuffing.
In a large skillet, heat butter and oil over medium-high heat. Working in batches, drop potato mixture by 1/2 cupfuls into pan; press to flatten slightly. Fry 4 to 5 minutes on each side or until golden brown and heated through. Drain on paper towels. Makes about 12 patties.