Toast the coconut: follow these instructions. Remove it from the heat and place it in a single layer on a plate.
Add a bit of extra cream of coconut to a separate plate and dip the edge of the rim of the martini glass into it. Then dip the rim into the plate of toasted coconut.
Add the vodka, lime juice and cream of coconut to a cocktail shaker. Shake with handful of ice and strain into the prepared martini glass.