He was a main goalscorer at Zestaponi during their "golden time" when the club twice in a row won the national league.

[1] In January 2014, Dvali agreed to join Azerbaijan Premier League side FK Qarabağ on a six-month loan deal.

[2][3] In June 2014, at the end of Dvali's loan deal with Qarabağ, he signed a 2-year contract with Zestaponi in Georgia.

Especially noteworthy during these short-term stints was his great contribution to Sioni's promotion to Erovnuli Liga, including in a play-off 3–2 victory over Dinamo Batumi where Dvali scored a hat-trick.

At one point in 2021, when this fourth-tier club was plagued with injuries and suspensions, he appeared in the starting line-up and even scored from the penalty spot.