Liverpool moved back up to third in the Premier League table but they were held to a goalless draw at home by Southampton.
The Reds are a point back above Manchester City, but they have played a game more.
A dour affair looked to be going the way of Liverpool when they won a penalty on 66-minutes when Jack Stephens handed a Lucas cross.
But Fraser Forster was the hero for the visitors as he saved James Milner’s effort – the first time he has missed a penalty since 2009.
Here's how it looks at the top of the #PL table after just two wins for the top six this weekend
Over to you, @ChelseaFC… ? pic.twitter.com/kTrprgGJVa
— Premier League (@premierleague) May 7, 2017
The draw sees the Reds move up to third, above Manchester City, on 70 points. However, Pep Guardiola’s side have a game in hand.
Manchester United remain five points behind after they lost 2-0 to Arsenal, who are two points further back from them.
The Gunners ended United’s 25-match unbeaten to maintain their top-four hopes – it was also the first competitive win for Arsene Wenger over Jose Mourinho.
The first-half was a poor, but the home side opened the scoring through Granit Xhaka’s deflectd shot which was fortunate to loop over goalkeeper David de Gea.
“It’s a special place in my life but on the pitch it’s business & we got the 3 points today” – Arsenal goalscorer Danny Welbeck#ARSMUN #PL pic.twitter.com/uPY30AdoQA
— Premier League (@premierleague) May 7, 2017
The lead was doubled when Danny Welbeck headed home against his former club after good work from Alex Oxlade-Chamberlain.
The result means Arsenal remain in sixth place but are two points off United in fifth and six points off Manchester City in fourth, with a game in hand over both teams.
Arsenal’s odds for a top-four finish have been halved to 4/1 from 8/1 whilst United have drifted to 12/1. Liverpool have eased to 1/6 from 1/9.