After playing with the youth teams of Faiakes Corfu and Iraklis, Skordilis began his professional career in 2006 with the Greek League club Aris Thessaloniki.

In 2015, Skordilis signed a 2-year contract with the emerging powerhouse Faros Keratsiniou of the Greek A2 League.

After temporarily deciding to split ways, Skordilis and the Athenian club renewed their contract on July 8, 2020.

With the junior national team of Greece, Skordilis played at the 2005 FIBA Europe Under-18 Championship.

He also won the silver medal at the 2009 Mediterranean Games while playing for the Greek under-26 national team.