In April, he reached the final of the Romanian National Championship of ten ball, but lost 3–7 to Ovidiu Cristea. At the Dynamic Italy Open 2013 he finished 33rd place, defeated to Tobias Bongers.
2015
In February 2015 Melkonyan was knocked out in the first round of the 10-Ball Championship.
He won the National Championship of Romania in 2010. In the same year, Melkonyan participated in the EBSA European Snooker Championships, where he left the tournament at the group stage. Group A table: