Whisk milk and eggs. Season with salt and nutmeg. Pour into a small greased mould (approx. 1/4 l capacity) or 2 cups. Close with foil. Covered and let stand in a hot water bath at low heat for 20-25 minutes
Clean or peel and wash the leek and carrots. Cut both into fine strips
Heat the fat. Sauté leek and carrots in it. Deglaze with 3/4 l water, stir in broth and bring to the boil. Simmer covered for about 10 minutes
Carefully overturn the eggs. Cut into cubes and distribute in soup bowls. Season stock to taste and pour over
You can also pour the egg mixture into a freezer bag instead of greased cups. Seal it tightly so that no water can run into it and let it stand directly in hot water. Lift out, remove from the bag and cut open