Iliász first tried different sports and took up fencing in 2002 at Vasas SC in Budapest on the suggestion of his grandmother, who had practiced it.

He became Junior World champion in Baku in 2010 after defeating Germany's Sebastian Schroedter.

In the 2009–10 season he made his breakthrough with three bronze medals in the Budapest Grand Prix and the Warsaw and Isla de Margarita World Cups.

At the 2010 World Championships in Paris Iliász reached the table of 16 after defeating No.3 seed Gu Bon-gil, but he lost to Russia's Veniamin Reshetnikov and finished 13th.

Hungary saw off Germany and Ukraine, but yielded to Italy in the final and came away with a silver medal.