Wash the limes in hot water and dab dry. Finely grate a total of 1-2 teaspoons of the peel. Squeeze the limes. Wash apples, quarter them and remove seeds.
Dice apples finely. Mix with lime juice and zest, 3 tsp. sugar and a little salt. Stir in oil.
Wash the dill, shake dry and cut finely. Rinse salmon cold, dab dry and chop finely. Stir dill into the apple mixture. Season to taste with salt and pepper. Keep covered and cool until serving. Pour into glasses. Garnish as desired with dill and lime wedges.