In the 2003–04 season, Babiaková won the Golden Spin of Zagreb and her ninth national title. She achieved her best ISU Championship result, 9th, at the 2004 Europeans in Budapest. She reached the final segment at a total of seven European and four World Championships before retiring from competition in 2005. As of 2016, she is coaching at Krasokorčuliarsky klub Iskra in Banská Bystrica.