Reigning champions Manchester City took the lead after 24 seconds but suffered a shock 2-1 defeat at Newcastle United.
Liverpool surrendered a two-goal lead as they were held to a 2-2 draw by third-tier Shrewsbury Town in the FA Cup fourth round on Sunday after second-half substitute Jason Cummins struck twice to inject some much-needed late magic into the competition. Earlier, Harry Maguire's thunderbolt for Manchester United started a goal rush at Tranmere where the Reds scored five times before halftime. Diogo Dalot, Jesse Lingard, Phil Jones, Anthony Martial and Mason Greenwood also scored.
Of the 32 teams that have been promoted to the premier league since its inception in 1992, 14 have gone straight back down the next season.
'So, the Champions League final will be played between two teams who just don't know when they are beaten,' says Suhit K Sen.
Lucas ended a goal drought stretching back to 2010 and Divock Origi missed a late penalty as Liverpool beat fourth tier Plymouth Argyle 1-0 in an FA Cup third-round replay on Wednesday.
Mourinho's tinkerings meant a first start of the season for midfielder Scott McTominay, playing on the right of a three-man defence, while Anthony Martial played instead of the dropped Alexis Sanchez. On this evidence, more changes may be needed when United take on Valencia in the Champions League on Tuesday.
Manchester City endured some anxious moments but escaped from fourth-tier Newport County with their FA Cup hopes intact as Phil Foden scored twice in an ultimately comfortable 4-1 fifth-round victory on Saturday.
Having enjoyed plenty of success at Old Trafford as Alex Ferguson's trusted right-hand man, the chance to return after a six year absence was not an opportunity the 56-year-old was going to let pass.
Chelsea manager Antonio Conte was fuming at the final whistle after Pedro and Alvaro Morata were dismissed in extra time and two penalty appeals had been waved away, but the Premier League champions regained their composure to win the shootout 5-3.
Images from the English Premier League matches played on Saturday.
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A rejuvenated Manchester United claimed a sixth win from six matches since former striker Ole Gunnar Solskjaer stepped in following the sacking of Jose Mourinho.
Manchester City claimed the win required to finally end Liverpool's relentless attempt to dethrone them as Premier League champions as they hit back from a goal down to crush Brighton and Hove Albion on the south coast on Sunday.
The pain of missing out on a first domestic league crown for 29 years will be eased by the knowledge that European glory could be on the horizon for Liverpool
Manchester City's stellar season gathered yet more momentum as the runaway English Premier League leaders reached the League Cup semi-finals with a penalty shootout victory at Leicester City.
Manchester City suffered their first home Premier League loss in eight months as a shock 3-2 defeat by Crystal Palace on Saturday left Pep Guardiola's champions trailing leaders Liverpool by four points.
Manchester United battled back from two goals down to beat Newcastle United 3-2 at Old Trafford on Saturday as a 90th-minute winner from Alexis Sanchez completed a spirited comeback to ease the pressure on manager Jose Mourinho.
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Chelsea brought a whole new dimension to the Premier League title race when they handed Manchester City their first defeat of the season on Saturday to leave Mohamed Salah-inspired Liverpool as the new leaders.
Liverpool will attempt to sweep away the January blues on the last day of a wretched month when they host commanding Premier League leaders Chelsea at Anfield on Tuesday.
Manchester City thrashed Southampton 6-1 to remain top of the Premier League.
Images from the English Premier League matches played on Tuesday
City are two points behind leaders Liverpool, but have a game in hand
The Professional Footballers' Association (PFA) called for a government inquiry into racism in the English game following the match, which Chelsea won 2-0.
Three members of a Sikh gang, including a woman, were today convicted of slashing the throat of Lt Gen (retd) Kuldip Singh Brar, the hero of the 1984 Operation Blue Star, in London last year.
Former Cup winners Coventry, now plying their trade in the bottom division of the Football League, revived memories of happier times as Jordan Willis and Jack Grimmer scored the goals in a 2-1 victory at the Ricoh Arena.
In Pep Guardiola's 100th match in charge of the Manchester club, captain De Bruyne led from the front as City outclassed the Gunners, who have now suffered six home games without a win. Images from the EPL matches played on Sunday.
Manchester City overcame a spirited Bournemouth side 3-1 on Saturday to maintain their unbeaten streak and extend their lead at the top of the English Premier League to five points.
Here are talking points from the weekend's Premier League action:
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Saturday's clash between Manchester United and Tottenham Hotspur at Old Trafford is already shaping up as an early-season eliminator to challenge runaway leaders Manchester City for the Premier League title.
Real Madrid goalkeeper Keylor Navas says the signing of Belgium keeper Thibaut Courtois has not affected his desire to remain at the triple European champions as he emphatically ruled out leaving the club in order to be assured of first team football.
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Manchester City had to battle back from behind to earn a 1-1 draw against Premier League newcomers Wolverhampton Wanderers who gave the champions a real test at Molineux on Saturday.
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Minor league Eastleigh suffered FA Cup heartbreak when they conceded a late equaliser to four-times winners Bolton Wanderers on a gluepot pitch at their snug Ten Acres ground on Saturday.
Liverpool made it three wins out of three as Mohamed Salah scored twice in a convincing 3-1 victory over Arsenal on Saturday to take control at the top of the Premier League.
Premier League clubs Watford and Hull City, and Championship side Leeds United paid the penalty for fielding weakened teams when they were all knocked out of the FA Cup in the fourth round on Sunday -- but holders Manchester United won comfortably.