Add the vodka and Kahlua to a low ball glass. Fill it with ice.
Top with the cream. Stir until cold (or stir just a bit to get the swirl effect).
Mudslide
Classic Mudslide: If desired, spread the chocolate sauce on a plate and carefully dip in the cocktail glass rim. Place the vodka, coffee liqueur, Irish cream, and heavy cream in a cocktail shaker. Add 2 handfuls of ice and shake until cold. Strain the drink into a cocktail glass. Garnish with shaved chocolate if desired.
Frozen Mudslide: Place the vodka, coffee liqueur, Irish cream, vanilla ice cream and ice in a blender. Blend until smooth and pour into a tall glass.
Espresso Martini
Make the espresso or strong coffee. Place it in the freezer until room temperature.
Add the vodka, coffee liqueur, espresso, and simple syrup to a cocktail shaker and fill it with ice. Shake vigorously for about 20 seconds to create the frothy top.
Strain into cocktail glass. Garnish with coffee beans.