 Pari gbolohun ti o tẹle: Ni ọdun 200203, Vassileva ni ikẹkọ labẹ Rafael Arutyunyan ni Los Angeles, bakanna ni Sofia. O ko ni anfani lati de ọdọ skate ọfẹ ni ISU Championship, ti o ti yọkuro lẹhin eto kukuru ni 2003 European Championships ni Malmö, Sweden, ati lẹhin igbasilẹ igbasilẹ ni : 2003 World Championships ní Washington, D.C. 