Chill two glasses into the fridge.

Melt the chocolate and coat the glass rim enough to let it drip down the sides. Chill it back in the refrigerator.

Combine the ice, coffee-flavored liqueur, vodka, Irish cream liqueur, and double cream into a cocktail shaker.

Shake until combined and cold.

Take the glass and put a few ice cubes on it. Strain the cocktail into the glass. Grate the remaining chocolate on top of it and serve.