Using a sharp knife, slice the avocados and remove the pits. Coarsely chop, if desired.

Put into a food processor and add the sugar, cocoa powder, and caramel syrup. Process for a few minutes, then turn off the food processor, scrap down the sides of the bowl with a spoon, and chop up the avocados a bit with the spoon if necessary. Continue to process for a few more minutes, stopping every two minutes or so to scrape the sides of the bowl. Process until the mixture is perfectly smooth, then transfer into dessert bowls.

Mixture will thicken with refrigeration. Top with sliced fruit if desired and drizzle with a little caramel syrup before serving.