Rub interior of a pot with garlic clove, then discard garlic. Bring white wine to a simmer over medium heat.
Toss cheese with cornstarch, add to the pot.
Cook, stirring with a wooden spoon, until cheese blends and melts.
Continue to stir and simmer about 5 minutes until smooth. Season to taste with salt and freshly ground black pepper. Add up to 1/4 cup more white wine if too thick and stir until smooth and incorporated again.
Transfer to a fondue pot set over a flame. Sprinkle with a dash of fresh nutmeg before serving.