He then reached the semifinal of a top-level Challenger in Bermuda in April and qualified into the main draw of the French Open in May, where he lost in four sets to eventual third-rounder Janko Tipsarević.

In 2008, Vemić competed in World Team Tennis with the Kansas City Explorers entry, which narrowly lost the league championship to the New York Buzz.

[3] In the 2010 Australian Open, Vemić and Ivo Karlović made the semifinals, losing to Daniel Nestor and Nenad Zimonjić 6–4,6–4 Following his career on tour, Vemić briefly coached WTA player Andrea Petkovic, helping her and coach Petar Popović to reach an all-time WTA ranking high of #9.

In 2016, Vemic coached Djokovic at the ATP Miami Open, where he won the Championship against Kei Nishikori 6–3, 6–3, and surpassed Roger Federer in career prize money earnings.

He remains a coach of the Serbian team, helping lead them through the 2016 Davis Cup World Group competition.