Preheat the oven to 428°F (220°C).

In a mixing bowl, beat the eggs, then add the milk. Whisk in the flour and shredded Swiss cheese, then season with salt and pepper. Add the diced ham and mix well.

Pour the mixture into a 8-inch (20 cm) silicone baking dish and bake for 25 to 30 minutes, keeping an eye on it until cooked through.