In 2013, she competed in the 2013 World Cup and 2013 Grand Prix Series. Filiou started her season competing at the 2013 Moscow Grand Prix. She won bronze in all-around at the 2013 Kalamata Cup. At the 2013 European Championships in Vienna, Austria, Filiou qualified to her first event final in ribbon where she finished 8th. She finished 10th in all-around at the 2013 Summer Universiade in Kazan, Russia. She won the silver medal in all-around at the 2013 Mediterranean Games. She then competed at the 2013 World Championships where she qualified to her first event final in ribbon finishing 4th behind Belarusian Melitina Staniouta. In the All-around final, Filiou finished 8th at Worlds behind of Ukrainian Alina Maksymenko.