In June 2015, he scored his first GM norm at the French Team Championships, where he notably played with the black pieces in each game.[2] His next norms were at the Top 12 French Team Championships in June 2016 and the Bundesliga Sued in February 2018.[1]
In August 2018, Velten, Antoine Favarel, and their student Antoine Bournel competed in the Wine Open in Hourtin, near Bordeaux. They helped Bournel achieve the win in the tournament.[3]
In June 2020, he tied for 5th place at the online Lichess Quarantine Charity Tournament.[4]
In February 2023, he represented the Chalonnais Exchequer chess club at the Cappelle-la-Grande Open tournament, where he finished 9th out of a field of 30.[5]