 It may also be mixed with milk and ice.Some cocktails include Tia Espresso Martini, Dark Tia made with dark rum, Tia Maria and cola, or the Skinny Tia White Russian, made with skim milk and Tia Maria, with a splash of vodka.Another cocktail, known as an 'Orgasm', which is Tia Maria mixed in equal parts with Bailey's or another Irish Cream.