Ashley Cole produced a late Chelsea winner against Stoke by scoring his first goal in two years Saturday, and Southampton collected its first points of the season with a victory at Aston Villa.
With Chelsea facing a second consecutive scoreless stalemate, Cole lifted the ball over Asmir Begovic in the 85th minute for a 1-0 victory at Stamford Bridge.
Chelsea has a three-point lead at the top of the league over Everton, which won 3-0 at Swansea, and West Bromwich Albion, which beat Reading 1-0.
Southampton climbed off the bottom by coming from behind to beat Aston Villa 4-1, while Fulham won 2-1 at Wigan, and West Ham drew 1-1 with Sunderland.
The glamorous fixtures of the weekend come today when Manchester United visits Liverpool and champion Manchester City hosts Arsenal.
But it will be Chelsea ending the weekend at the summit after being rescued by its left back.
Cole hadn't scored since May 2010 until he connected with Juan Mata's back-heel and beat Begovic from close range after 85 minutes.
"You have a game plan and you need to be patient and you need to find solutions to break them down ... it is very difficult," Chelsea manager Roberto Di Matteo said.
Southampton had endured four straight losses since returning to the Premier League and the southcoast side conceded its 15th goal of the season when Darren Bent put Villa ahead in the 36th.
But Southampton turned on the style in the second half after Rickie Lambert lashed in a leveller in the 58th.
Southampton went in front five minutes later when defender
Nathaniel Clyne slotted the ball past goalkeeper Brad Guzan from close range, and Jason Puncheon extended the lead with a strike from the edge of the six-yard box that deflected off Ciaran Clark.
After setting up Puncheon's goal, Lambert was on the scoresheet again with a 90th-minute penalty after Guzan brought down Emmanuel Mayuka.
"We've been desperate to get some points on the board," Lambert said. "Today is everything we believed we could do."
That was rarely in doubt for Everton at Swansea, with Victor Anichebe and Kevin Mirallas scoring before the break and Marouane Fellaini heading in a late third after the hosts had Nathan Dyer sent off early in the second half.
West Brom is only behind second-place Everton on goal difference after Romelu Lukaku netted a second-half winner that sent Reading to the bottom of the pile.
At Wigan, Hugo Rodallega headed in his first goal for Fulham against his former club and Damien Duff struck into the top left corner of the net for the London side. Arouna Kone pulled one back for the hosts in injury time.
At West Ham, Steven Fletcher scored his fourth goal in three matches for Sunderland after connecting with Sebastian Larsson's cross in the ninth, but Kevin Nolan volleyed in an equalizer in stoppage time.
