Lille returned to the top of the Ligue 1 in France but have been held to a disappointing 0-0 at home to Brest on Sunday.
Lille had won their last seven games, conceding only one goal, but another clean sheet will be little consolation to coach Christophe Galtier with defending champion PSG only one point behind.
"We had 14 shots and didn't hit the target, so their goalie didn't even make any saves. It's poor in terms of our attacking," Galtier said.
"We need to show more character, we must push ourselves more in a match like this."
Elsewhere, nine-man Marseille held on for a 0-0 draw at Bordeaux.
Ninth-place Marseille had Argentines Leonardo Balerdi and Dario Benedetto sent off within minutes of each other in the second half.
Between the red cards, Bordeaux's South Korea striker Hwang Ui-jo hit the post.
Lorient continued their remarkable turnaround and ended Monaco's eight-game winning run with a 2-2 away draw.
The visitors to the principality extended their unbeaten streak to five, which included a win against PSG, to move out of the drop zone.
But Lorient will regret a lapse of concentration that allowed striker Wissam Ben Yedder to snatch an added-time equaliser for fourth-place Monaco, who travel to play PSG next weekend.
18th-place Nantes are one point adrift of Lorient after giving new coach Antoine Kombouare the perfect start with a 3-1 win at Angers.
Things are looking up for Saint-Etienne coach Claude Puel, whose side won 2-0 at fifth-place Rennes for a third win in four games and lifted them to 15th.
Nimes won 2-0 at Dijon to move one place up to 19th and put Dijon bottom, and midfielder Adrien Thomasson scored both as Strasbourg won 2-1 at Metz to pull further clearer of relegation trouble.
On Saturday, PSG scored a 2-1 home win against Nice and third-place Lyon lost 2-1 at home to Montpellier.