Combine Bailey’s Irish Cream, Kahlua, vodka, ice, and ice cream in the blender.
Pulse until it’s smooth.
To drizzle the inside of the class, hold it in one hand and hold a bottle of chocolate syrup in the other. Tilt the glass at about 45° angle and start pouring chocolate on the inside side of the glass. Turn the glass as you pour the syrup in a swirl all around the glass.
Pour the Mudslide mixture into the prepared glass.
Garnish with whipped cream and some more chocolate syrup on top.