Kompodietas began playing basketball with the junior teams of Ano Liosia. He began his pro career with
Doukas, in the
Greek 2nd Division, during the 2003–04 season. He moved back to Ano Liosia for the 2004–05 season. He then moved to Alimos, where he again played in the Greek 2nd Division, during the 2005–06 season. He then joined
Ilysiakos, where he played again in the Greek 2nd Division, for the next two seasons. He next moved to the
2nd-tier EuroCup team
Panellinios. He then played with
Kolossos,
Peristeri, and
Nea Kifissia in the
Greek 1st Division, before signing with the Greek 2nd Division club
Faros Keratsiniou. In 2018, he joined the
Greek A2 League club
Ionikos Nikaias. On February 5, 2022, Kompodietas signed with
Palaio Faliro B.C. ==National team career==