Left alone in the box, Dimitar Berbatov should have doubled Monaco's lead at the stroke of halftime but the Bulgarian striker sent his effort straight at goalkeeper Anthony Lopes.
Berbatov had another good chance when his header brought a save from Lopes in the 53rd minute, while Lyon and France forward Alexandre Lacazette showed his class with a volley that was blocked by keeper Danijel Subasic.
"Our confidence is back before our trip to (PSG)," Tolisso said.
For Monaco, confidence remains low ahead of the team's Champions League opener against Bayer Leverkusen on Tuesday. Runner-up last season in the French league, the club is still reeling from the departure of James Rodriguez and Radamel Falcao, having picked just four points from five games.