Born in Thessaloniki, Greece, Verginis started his career playing with the Asteria Panoramatos junior teams in Greece, and he played with the senior team of Anatolia in the 2004–05 season.

Verginis was the youngest player to ever be named the team captain in the history of PAOK, when he took over that role from Kostas Vasileiadis.

He then signed with the Spanish League club Bilbao Basket, in June 2012, and stayed with them through the preseason.

On July 22, 2020, Verginis signed a two-year contract with Iraklis Thessaloniki.

On October 1, 2021, Verginis signed with ASK Karditsas of the Greek A2 Basket League.