[5] Training in Grenoble, he competed mostly domestically before making his ISU Junior Grand Prix debut in 2008.

In the 2009–2010 season, Besseghier won the bronze medal at the Crystal Skate of Romania and 2010 Triglav Trophy.

After landing his first quadruple-triple jump combination in the short program, he was in fourth place, with the second-highest technical score.

[6] Prior to the 2011–2012 season, Besseghier spent several months working with Yuka Sato and Jason Dungjen at the Detroit Skating Club in Bloomfield Hills, Michigan.

Besseghier was selected to compete at two Grand Prix events, the 2014 Skate America and 2014 Trophée Éric Bompard.

[19] Besseghier changed coaches ahead of the 2016–2017 season, deciding to rejoin Stanick Jeannette in Grenoble.

Due to his world result, France qualified a spot in the men's event at the 2018 Winter Olympics in Pyeongchang, South Korea.