He has also played for several club teams. He was part of the team "Csuti Antal SK" from Zalaegerszeg that won the Hungarian National Championship five times. As a member of the "Aquaprofit NTSK," he won the championship four times. Berkes also competed in the French Top 12 and the Turkish Super League for several chess clubs. He notably won two team silver medals and one team bronze in the European Club Cup.
Berkes is distinguished and highly recognized in both swaps chess and rapid chess. In 2018, he was the runner-up of the 1st FIDE World Team Rapid Championship in Astana, and in 2020 he won the mixed pair competition at the 1st FIDE World Online Chess Championship. Finally, in addition to being an accomplished chess player, Berkes also holds a degree in economics.