Preheat the oven to 200°C (392°F).
Wash and trim the broccoli, then steam it in salted water until tender. Drain well and set aside.
Grate the cheese and dice the ham.
Place the eggs and egg whites into a mixing bowl. Season with salt, pepper, and a little ground nutmeg, then whisk until combined.
Add the cream and mix thoroughly.
Stir in the broccoli, ham, and cheese. Mix gently with a spoon, then divide the mixture evenly among 9 silicone muffin cups.Place them in the preheated oven and bake for 20 minutes. Serve warm! They are also delicious reheated the next day.