Clean and wash the pointed cabbage, drain well and cut into strips. Peel and chop the onion. Heat the fat in a pot and fry the onion until transparent. Add cabbage, braise briefly and deglaze with 1 1/2 litres of water.
Add chicken soup, salt and pepper, bring to the boil, cover and cook for 15-20 minutes. Lift out a skimmer with pointed cabbage strips and set aside. Finely puree the remaining cabbage in the stock.
Season soup with crème fraîche, salt, pepper and nutmeg. Put the cabbage strips back into the soup and warm them up. For the eggs, heat 1 litre of water, 1 tablespoon of salt and vinegar. Beat the eggs one by one in a soup ladle and let them slowly slide into the water.
Poach for about 4 minutes at low heat. Remove with a skimmer, drain and serve with the soup in deep plates. Serve sprinkled with paprika as desired.