Hull City 0-2 Chelsea
Chelsea ended their 3 game winless run in the Premier League on Saturday with a 2-0 win over Hull City to ease some of the pressure on first year boss – Antonio Conte – who praised the intensity and commitment he saw in his players after the game. Liverpool extended their winning streak to four straight, courtesy of a late James Milner spot kick as the Reds climbed back from a goal down for the maximum points, and Watford’s Granada summer signing - Isaac Success – who came on as a substitute salvaged a point for his side against Bournemouth in their Vicarage Road thriller. Elsewhere on Saturday, Sunderland’s Patrick Van Aanholt came off the bench to salvage a point for his side 7 minutes from time against West Brom, and West Ham and Middlesbrough ended their losing runs with a 1-1 tie.
Earlier on Friday, Romelu Lukaku scored his sixth goal in five league games to equalise with a late strike in an entertaining match against Crystal Palace.
And on Sunday, PL runner-ups from last year – Tottenham Spurs - deservedly ended Pep Guardiola's perfect Premier League start and underlined their own title credentials with a thrilling victory over Manchester City at White Hart Lane, Manchester Utd failed to capitalize on their home court as they settled for a 1-1 tie with Stoke City, visiting Southampton held PL Champions – Leicester City – to a goalless draw as the struggles continue to mount for the latter, and Burnley suffered a cruel defeat at Turf Moor as Arsenal secured victory with a controversial Laurent Koscielny goal in the final act of an intriguing match.
Everton 1-1 Crystal PalacePoor Everton defending allowed Scott Dann to head Palace in front late on as the Londoners looked on course to win.
But Lukaku - who had twice struck the woodwork - tapped in Gerard Deulofeu's low cross from two yards for a deserved point for the dominant hosts.
Palace's Jordon Mutch sent a shot wide as both sides searched for a winner.
The draw was still enough to move Palace to sixth on goal difference, though manager Alan Pardew will be disappointed that his team only held their lead for five minutes, to drop points from a winning position for the first time this season.
Swansea 1-2 Liverpool
James Milner's late penalty gave Liverpool a 2-1 win at Swansea on Saturday to extend their winning run to five games.
Leroy Fer gave Swansea the lead with a simple close-range finish early on, and Swansea should have been further ahead in the first half, but Borja Baston's two unmarked headers were off target.
Liverpool's pressure either side of half-time took its toll on Swansea as Roberto Firmino headed the visitors level from 10 yards on 54 minutes.
And they got their winner in the 84th minute as Firmino was brought down by Angel Rangel in the area, Milner making no mistake from the spot.
Swansea defender Mike van der Hoorn should have equalised in stoppage time, but the result extends Liverpool's unbeaten run in all competitions to seven games, while Francesco Guidolin's Swansea are still without a Premier League victory since the opening day.
West Ham 1-1 MiddlesbroughA brilliant solo goal from Dimitri Payet salvaged a point for West Ham as they and Middlesbrough both ended losing runs with a 1-1 draw.
Cristhian Stuani's header early in the second half (51) put the visitors in front but a wonderful mazy run and finish from Frenchman Payet soon sftare (57) brought the sides level again.
From there, neither side looked like finding a winner, and the ensuing stalemate did little to improve their recent records.
Hull City 0-2 Chelsea
Chelsea stopped the rot after successive Premier League defeats as they ground down Hull at the KCOM Stadium.
The hosts enjoyed the better of a cagey first half but went behind when Willian swept home a curling shot after good work from Diego Costa after the break. Liverpool extended their winning run to
Costa found the top corner with a similar strike to double the lead after Nemanja Matic's powerful run
Hull never recovered and could have been further behind but for Pedro's poor finishing from six yards.
The result condemns Hull to a fourth defeat in their last five top-flight games, while the Tigers remain without a win against Chelsea in nine Premier League meetings. Sunderland 1-1 West Brom
Patrick van Aanholt came off the bench to score a late equaliser for Sunderland as they ended a run of three straight defeats - but remained in the Premier League relegation zone - with a draw against West Brom.
Nacer Chadli's third league goal of the season, against the run of play, looked set to inflict a sixth league defeat in seven games on David Moyes' side, who showed spirit to fight back.
Dutch substitute Van Aanholt, usually a left-back but playing higher up the pitch here, started and finished the leveller - his scuffed shot bouncing into the ground and looping beyond Ben Foster.
Defeat would have saddled Moyes' winless team with the record for the worst start to a season in Premier League history and although their prospects remain bleak, this match at least offered the manager hope for the rest of the season.
Watford 2-2 Bournemouth Isaac Success came off the bench to score Watford's second-half equaliser and his first for the club in a 2-2 draw at home to Bournemouth.
The summer signing from Granada steered a header into the far corner on 65 minutes after fellow second-half substitute Josh King had beaten two players and smashed a low shot home to restore the Cherries' lead.
The visitors had gone ahead during an impressive first-half display when Callum Wilson stole in front of his marker and flicked Junior Stanislas' cross through Heurelho Gomes' clumsy handling (31). Watford levelled through captain Troy Deeney's 99th goal for the club just after the break, a close-range finish after fine work by Morocco international Amrabat.
Substitute Joshua King restored Bournemouth's lead with a long-range deflected effort 44 seconds after coming on before Success equalised with a header following Jose Holebas' free-kick.
Incredibly, Bournemouth hit the woodwork three times in the second half. Jack Wilshire was twice denied by the post while Stanislas's free-kick rattled the bar late on.
Manchester Utd 1-1 Stoke City
Stoke snatched a point at Manchester United as Joe Allen capitalised on a spill from David de Gea to punish the hosts' lax first-half finishing.
After a string of saves from Lee Grant before the break, United made the breakthrough when substitute Anthony Martial swept home a curling shot.
It appeared to be a fatal blow to a Stoke side who had rarely threatened.
But when De Gea failed to hold Glen Johnson's shot and Jon Walters' follow-up came off the bar, Allen poked in.
Paul Pogba rattled the bar with a header as United mounted a late siege on the Stoke goal, but Mark Hughes' side clung on to the point that takes them off the bottom of the table.
Leicester City 0-0 Southampton
Champions Leicester City's struggles in the Premier League continued as they were held to a draw by Southampton.
The home side almost went behind when Charlie Austin went close with two headers and hit the post with a shot.
Austin was also through on goal in the second half but an ambitious chip was saved by keeper Kasper Schmeichel.
Jamie Vardy had Leicester's best chance after a poor backpass but he was tackled by Oriol Romeu, who also blocked two follow-up shots.
The Foxes have now won only two of their opening seven leagues games, collecting eight points
Tottenham 2-0 Manchester city
Tottenham 2-0 Manchester City
Tottenham inflicted Pep Guardiola's first defeat at Manchester City as they moved to within one point of the leaders with a scintillating 2-0 victory on Sunday.
Spurs got off to a flying start at White Hart Lane, taking the lead on nine minutes after Aleksandar Kolarov put through his own net before Dele Alli slotted a slick second seven minutes before half-time.
City, who trailed for the first time under Guardiola in the Premier League, rallied after the interval but struggled to replicate the form that had guided them to six top-flight wins from six beforehand. Things could have been worse for City had Erik Lamela not seen his second-half penalty saved by Claudio Bravo, but in the end it proved inconsequential as Spurs held on to secure their best since 1960/61, asserting their own title credentials as they moved to within a point of the summit and left Guardiola mulling over his first PL defeat.
Burnley FC 0-1 Arsenal
Arsene Wenger started his 21st year as Arsenal manager with a controversial 1-0 victory over Burnley at Turf Moor following a 93rd-minute Laurent Koscielny winner.
Defender Koscielny bundled the ball home at the far post from a corner in the third minute of stoppage time, but it looked like his initial shot, which was directed over the bar, came off his own arm before crossing the line.
Burnley were furious, but referee Craig Pawson allowed the goal, handing Arsenal a vital three points following a stubborn Burnley display.
Alexis Sanchez went closest for the visitors in a game lacking in chances, forcing a good save out of Tom Heaton before volleying just wide from a corner in the second half, while Michael Keane hit the woodwork for Burnley from a header.
The result means Arsenal go up to third, two points off leaders Manchester City, while Burnley sit 14th with seven points.
Match day reports from BBC Sports and skysports.com were used in this compilation