Being picked up by the current championship-winning team is a big step up for the 22-year-old Monegasque, who is the younger son of former French Gravel Rally Champion Jean-Pierre Richelmi.
"I'm very happy and very proud to be a part of the DAMS family," he said. "I hope to fight at the front next year while helping DAMS to clinch another teams' title."
Richelmi explained that he'd put a great deal of thought and effort into ensuring he signed up with the right team for his 2013 sophomore effort.
"After a fairly difficult 2012 season I was determined to have a good winter test session to join a top team and improve in 2013," he said. "Thus, I drove for Lotus GP for one day, then with Trident, and finally with DAMS. I soon chose the reigning teams' title holder.
"The way the engineers work really impressed me," he added. "The team's level of professionalism is faultless and the very pleasant ambience makes you feel at home straight away."
Team boss Driot certainly felt that the combination offered DAMS the best chance of extending their run of success in GP2.
“We've been GP2 champions for the last two years and we're hungry for more titles - we had to recruit drivers capable of keeping us at this level," he insisted. "I'm convinced that we're going to enjoy another great season in GP2 with them."