After a goalless first half at the Roazhon Park, Jonathan Ikone opened the scoring for Lille after poking home a cross from the 20-year-old.
However, they were denied their first away win in this campaign as the hosts levelled matters courtesy of Adrien Hunou’s equaliser.
With 22 minutes to full-time, Mali’s Hamari Traore sent in a deep cross and Adrien Hunou stabbed home for his first league goal of the season.
The former Royal Charleroi man has been involved in six of his team’s goals in Ligue 1 with five goals and one assist.
Just like Traore, Osimhen was on parade from start to finish as they stayed in sixth spot on the log with 10 points after six games.
Shortly after the game, he took to social to laud his team's character against Juilen Stephan's side.
Lille welcome Strasbourg to Stade Pierre-Mauroy in their next fixture on Wednesday before travelling for a date with Nice.
Fourth-placed Rennes would hope to end their streak of three consecutive draws when they try Nantes for size at Stade de la Beaujoire.