Wash and peel the asparagus and cut off the woody ends. Wrap the asparagus in a damp cloth and keep cool. Wash the chicken fillets, dab dry and cut a pocket on each long side.
Drain the mozzarella and cut into slices. Wash and drain the basil and pluck off the leaves, except for a little to garnish. Season the inside of the chicken fillets with salt and pepper and fill with dried tomatoes, mozzarella and basil leaves.
Cover well with small wooden skewers or roulade needles. Put asparagus in plenty of boiling salted water. Add sugar and 10 g butter and cook the asparagus for 15-20 minutes, depending on the thickness. Heat the oil in a frying pan and fry the chicken fillets for about 12 minutes, turning them over.
Season the fillets with salt and pepper, wrap them in aluminium foil and let them rest for 4-5 minutes. In the meantime, wash the remaining herbs, dab dry and chop, except for a little bit for garnishing. Foam 100 g butter in a saucepan and let it brown slightly.
Remove from heat and stir in the spring herbs. Remove the skewers from the meat and cut the fillets into slices. Drain the asparagus well and arrange on a plate with the meat.
Spread some spring herb butter over the asparagus and serve garnished with the remaining herbs. Boiled potatoes taste good with it.