01 - Combine the drained lychees, lychee syrup, coconut milk, lime juice, and agave syrup in a blender. Blend until completely smooth and frothy, approximately 30-45 seconds.
02 - Fill two tall glasses with ice cubes, packing them lightly to allow room for the liquid mixture.
03 - Pour the blended coconut lychee mixture over the ice in each glass, dividing evenly between the two servings.
04 - Top each glass with extra lychee fruit, fresh lime slices, and mint leaves if desired. Serve immediately while thoroughly chilled.