See steps for garnishing the rim first, if you choose to do so.
For the cocktail, place several ice cubes in a cocktail shaker; it does not need to be filled to the top. Add the vodka and coffee liqueur to the shaker. Next, add in the sweetened condensed milk and chocolate syrup.
Cover and shake gently; do not shake too hard or the ice will break. Once the ingredients are fully incorporated, pour into your prepared martini glasses (or an old-fashioned glass) and garnish with additional chocolate shavings, as desired.
Optional Chocolate Glass Rim
Stir together cocoa powder and raw sugar in a small bowl. Pour mixture onto a plate - one with edges works well. Using your finger, rub a small amount of water along the rim of the glass. Turn the rim down into the sugar mixture until coated. Set aside.
If desired, serve this cocktail on the rocks, as a traditional White Russian. The photos feature two cocktails not served over ice.