Place two martini glasses in the freezer to chill for 15 minutes before serving.
Drizzle the insides of the glasses with chocolate syrup.
In a cocktail shaker filled half full with ice, combine the Bailey’s, chocolate liqueur, and vodka. Shake well to chill and combine. Strain the mixture and divide between the 2 martini glasses. Top with chocolate shavings, if you like, and serve immediately.
