Wash the limes, grate them dry, halve them and squeeze the juice. Put the lime halves aside for garnishing. Peel and finely chop the ginger. Soy sauce, sugar, fish sauce, about half the lime juice and star anise in a large pan over medium heat for about 4 minutes.
Dab meat dry and cut into cubes. Add meat to the sauce and cook for about 5 minutes while stirring.
Peel and finely chop the garlic. Wash the chilli and cut into fine rings. Heat 1 teaspoon of oil in a wok and sauté the chilli and garlic for about 1 minute, add coconut milk and season to taste with salt, pepper and lime juice.
Wash the asparagus and cut off the lower ends. Heat 1 tablespoon of oil in a frying pan and fry the asparagus for about 2 minutes, turning it, season with salt and pepper. Remove from the pan and keep warm.
Wash the coriander, shake dry and pluck the leaves from the stalks. Wash spring onions, shake dry and cut into fine rings. Add the meat to the coconut sauce, sprinkle with coriander, spring onions and sesame seeds.
Garnish with lime halves. Add the asparagus.