Peel, wash and finely dice the potatoes. Heat 2 tablespoons of oil. Fry the potatoes over medium heat while turning for about 10 minutes. Season with salt.
Clean and wash the salad and cut into fine strips. Mix vinegar, mustard and honey. Season with salt and pepper. Fold in 2 tablespoons of oil. Stir the potatoes and frying fat into the vinaigrette.
Wash the chives and put something aside for garnishing. Cut the rest of the chives into fine rolls. Peel the shallots. Wash, quarter and core the apple. Cut shallots and apple into fine cubes.
Mix everything with the vinaigrette.
Arrange salmon and radicchio on plates. Add potato and apple vinaigrette. Garnish with remaining chives and sprinkle with freshly ground pepper.