Rubik made her runway debut during the Paris Fashion Week Fall/Winter 1999 ready-to-wear collections. In 2000, Rubik signed with Next Management in Paris. In 2005, Rubik's modeling career started to take off after she landed her first campaign for Chloé photographed by Inez van Lamsweerde and Vinoodh Matadin. By the end of the year she was labeled fashion's rising star by Style.com. By 2009, Rubik was dubbed a “top model” by French "Vogue". In 2011, the International Business Times hailed "supermodel" Rubik as the "world's most in-demand model".