Brew a shot of espresso using your preferred method. Allow it to cool slightly.
Fill a cocktail shaker with ice cubes. Add the shot of espresso, vodka, and coffee liqueur to the shaker.
Shake the ingredients vigorously for about 10-15 seconds to chill and combine them.
Place a scoop of vanilla ice cream into a martini or dessert glass.
Pour the shaken espresso martini mixture over the vanilla ice cream, allowing it to cascade and mix with the ice cream.
Optionally, garnish the top of the dessert with a few coffee beans or chocolate shavings for added visual appeal.
Serve the Espresso Martini Affogato immediately and enjoy it with a spoon to savor the combination of the cold ice cream and the rich flavors of the espresso martini.