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.