Wash and clean the strawberries and, except for 3-4 for decoration, cut them into pieces. Blend coconut milk with vodka, coconut syrup and strawberries in a blender or with a hand blender
Put the sugar syrup and grated coconut separately on two small flat plates. Dip glasses with the upper rim first into the syrup, then into the grated coconut. Halve the remaining strawberries. Put 2-3 ice cubes in each glass and pour in drink. Decorate with strawberry halves