Lobačevskė started out as a track runner and in 1998 she represented her country in the 3000 metres at the 1998 World Junior Championships in Athletics. The following year she placed sixth in the 5000 metres at the 1999 European Athletics Junior Championships held in Riga. In her final international outing in the younger age categories, she finished 13th in the 10,000 metres at the 2001 European Athletics U23 Championships.