Cut the basil into fine strips. Mix the cream cheese with the eggs, basil and salt. Add the flour and knead everything into a smooth dough. Wrap in foil and let rest in the refrigerator for 30 minutes.
Shape the dough into rolls on a floured work surface. Cut these into small pieces and use a fork to make a striped pattern into each piece of dough.
Put in portions in plenty of boiling salted water and let simmer for about 5 minutes.
Lift out and serve sprinkled with the parmesan shavings.