Peel the pineapple and dice it very finely. Heat 150 ml water and sugar and simmer. Add pineapple to the syrup. Simmer for about 1 minute more. Remove from the heat and let it cool down. Squeeze the limes. Peel mango and banana and cut the mango pulp from the stone.
Puree the mango, banana, lime juice and maple syrup. Stir in the syrup with pineapple pieces.
Put the fruit puree in a bowl. Leave to freeze slightly for approx. 1 hour and stir well. Beat egg whites until stiff and fold in. Freeze for approx. 4 hours. Stir again and again until you have a portionable sorbet.
Let the raspberries thaw. After about 3 hours, carefully fold in the raspberries.