Javier Pastore's first league goal of the season, and his first in 1,207 Ligue 1 minutes, put Laurent Blanc's side ahead but they were not able to hang on and record an eighth away win in the league this season.
Monaco battled hard and they were level with 16 minutes to go as Thiago Silva put through his own goal.
The league leaders piled on the pressure in an attempt to find a winner but their efforts proved in vain and they had to settle for a point, which also extended Monaco's unbeaten run to five league games.
Lucas Moura's corner from the right was met by Alex inside the penalty area and his header looped off a defender towards the back post, where Pastore was on hand to turn the ball home from close range.
Zlatan Ibrahimovic's first sight of goal came in the 16th minute, but he failed to get enough on a Blaise Matuidi cross, and seven minutes later his swerving free-kick was pushed wide by Danijel Subasic.
Pastore should have doubled his tally, and his side’s advantage, just after the half-hour mark when he was superbly found by Marco Verratti. The 24-year-old jinked past Eric Abidal but rather than find Ibrahimovic, he went for goal and fired wide.
Ibrahimovic's personal battle with Subasic continued in the second half, with the goalkeeper again coming out on top as he got down well to push the Sweden international's free-kick wide of goal in the 54th minute.
