Clean and prepare your pineapple. Remove the eyes of the pineapple but retain the core. Slice into thick discs and then cut into four.
Turn the tandoor on and grill the pineapple for about 2 minutes on each side until you get good score marks on the wedges.
Reserve a few pieces for garnish and transfer the rest to a bowl when done.
In a juicer jar, blend the grilled pineapple with the pineapple juice and basil leaves until you get a smooth mix.
Strain with a mesh strainer into a large bottle.
Add the coconut milk and white rum and shake well.
Pour over crushed ice.
Top glasses with grilled pineapple.