1. In a blend, blend the lychees to make a puree.
2. In a cocktail shaker, add the kiwi and sugar and muddle together.
3. Add the blanco rum, lemon rum, the pureed lychees, triple sec, pineapple juice and stir well.
4. Pour into a cocktail glass.
5. Garnish with a kiwi slice and serve chilled.