Freeze the crushed pineapple (with the juice), banana and pulp of the passionfruit ahead of time.
Roughly chop frozen fruit and place in the bowl of a food processor.
Process until fruit becomes granular. Scrape down sides of bowl with a spatula and process again. Repeat 4-5 times until fruit mixture is a smooth, thick and creamy texture.
Spoon into bowls and serve immediately with fresh fruit, if desired.