Wash Brussels sprouts and potatoes. Dice the potatoes. Cook both in salted water for about 20 minutes.
In the meantime, cut the ham into fine strips. Whisk the egg and milk together and season with salt, pepper and nutmeg.
Lightly fry the ham in a non-stick pan. Drain and drain the Brussels sprouts and potatoes and add to the pan. Mix with the ham. Pour egg milk over the vegetables and cover, leave to stand for about 2 to 3 minutes. Turn out onto a plate and serve.