 Kozich did not make any individual finals at the 2005 World Championships in Melbourne or the 2006 European Championships in Greece, but she won a silver medal on floor at the 2005 Glasgow Grand Prix and helped the Ukrainian team to a fifth-place finish at the 2006 European Championships.In late 2006, she began to regain the form that won her the 2004 European title, placing 13th in the all-around final at the 2006 World Championships in Aarhus, Denmark.She also helped the Ukrainian team finish fifth in the team final.