Place the egg whites, 2 tablespoons of sugar and grated coconut in a bowl and knead with the dough hook of the hand mixer. Place 3-4 teaspoons of the coconut mixture in each mould and press down evenly on the bottom and the edges until the top is high.
Place the tins on a baking tray or place them in the recesses of a muffin tray. Bake in the preheated oven (electric cooker: 200 °C/circulating air: 175 °C/gas: level 3) for approx. 10 minutes until golden brown and let cool off.
Stir pudding powder, 3 tablespoons sugar and 6 tablespoons milk until smooth. Boil up the rest of the milk. Stir in the pudding powder and simmer for about 1 minute. Remove the pot from the stove. Roughly chop the chocolate and add 3⁄4 to the pudding.
Spread the hot pudding in the baked coconut cups and let it cool down. Sprinkle with rest of chocolate.