Seven-time French champions Lyon battled to their first point of the Ligue 1 season on Sunday in a 0-0 draw at Nice but they remain deep in trouble.
Coach Laurent Blanc had led Lyon to their worst start to a Ligue 1 campaign since 1966 after opening losses to Strasbourg and Montpellier.
They were under the cosh for large parts of Sunday's match.
In the dying moments, Nicolas Tagliafico handled the ball in his area but the referee ignored Nice's appeals for a penalty.
Despite the hard-earned point, things will only get harder for Lyon who tackle champions Paris Saint-Germain next weekend.
Rennes blew the chance to climb into the top three as they allowed visiting Le Havre to come back from two goals down to draw 2-2.
"We got carried away and were punished," said Rennes coach Bruno Genesio after the match, visibly annoyed by the result but above all "the manner" of it.
"It's not acceptable," he said.
Genesio's side are sixth in the table, level on points with Paris Saint-Germain who picked up their first win of the season on Saturday with Kylian Mbappe scoring twice in a 3-1 win over Lens, last season's runners up.
Rennes and PSG are two points behind leaders Monaco and Marseille, and one point behind Brest.
Montpellier could have gone level with Monaco and Marseille but suffered a 3-1 home defeat to Reims who moved into third spot, one point off the top.
Teddy Teuma scored twice for Reims.