Career

Aburjania kicked off his career with Metalurgi Rustavi in 2010. He then had stints with Dila and Lokomotivi Tbilisi. On 17 June 2014, he signed for Cypriot club Anorthosis Famagusta on a two-year contract.

On 8 January 2016 Aburjania moved to Spain, after agreeing to a three-and-a-half year contract with Segunda División side Gimnàstic de Tarragona.