Peel the asparagus, cut off the woody ends briefly. Cook in boiling salted water with 1 pinch of sugar at medium heat for about 20 minutes. In the meantime wash and clean the strawberries and cut them into wafer-thin slices. Roast pine nuts in a pan without fat until golden brown. Finely slice parmesan. Wash the basil, pluck the leaves from the stalks.
Remove the asparagus and let it drain. Season vinegar and 8 tablespoons of asparagus stock with salt, pepper and sugar. Whip the oil into it. Fold in the berries. Arrange asparagus with strawberries, pine nuts, parmesan and basil. Sprinkle with the marinade and leave to stand for about 20 minutes and serve