Filiou has been a member of the Greek National gymnastics team since 2008 and made her senior debut in 2010.

At the 2013 European Championships in Vienna, Austria, Filiou qualified to her first event final in ribbon where she finished 8th.

She then competed at the 2013 World Championships where she qualified to her first event final in ribbon finishing 4th behind Belarusian Melitina Staniouta.

Filiou then competed at the 2014 Corbeil-Essonnes World Cup and finished 6th in all-around behind Katsiaryna Halkina and qualified to 3 event finals.

On March 21–22, Filiou competed at the 2015 Thiais Grand Prix finishing 11th in the all-around behind Canada's Patricia Bezzoubenko.

On September 9–13, Filiou competed at the 2015 World Championships in Stuttgart where she qualified to 1 apparatus final finishing 8th in ribbon (17.633).

[9] In 2016 Season, Filiou competed at the 30th Thiais Grand Prix event in Paris, where she finished 17th in the all-around.

On May 27–29, Filiou finished 8th in the all-around at the 2016 Sofia World Cup with a total of 70.350 points, she qualified to 3 apparatus finals.

On August 19–20, Filiou competed at the 2016 Summer Olympics held in Rio de Janeiro, Brazil.