Toss together the cheeses and cornstarch in a bowl. Set aside.
Heat a fondue pot or a saucepan over medium heat. Finely mince the garlic and add to the skillet/fondue pot. Add white wine and allow to simmer for 2 minutes. Add salt, pepper and nutmeg and stir.
Lower heat to low and add half the cheese. Stir until melted. Add in remaining cheese and stir until melted. Keep on low in your fondue pot and serve.