Branislav Ivanovic's rocket gave Chelsea a crucial 2-1 win at Aston Villa - despite the hosts ending their 11-hour goal drought.
Substitute James Milner struck a superb injury-time free-kick as lacklustre champions Manchester City rescued a point with a 1-1 draw against Hull.
Harry Kane inspired boyhood club Tottenham to victory over Arsenal in a wonderfully frantic and frenetic north London derby.
Philippe Coutinho celebrated his new five-year contract with an added-time winner as Liverpool kept their FA Cup hopes alive in a dramatic late turnaround at Bolton.
Manchester United overcame Cambridge United in their FA Cup replay on Tuesday, winning 3-0 less than two weeks after a humbling 0-0 draw.
Juan Cuadrado has completed his move from Fiorentina to Chelsea for a total fee of 35 million euros, including bonuses, although Italy's prime minister Matteo Renzi does not approve of the transfer.
Arsenal closed the gap on the top four of the Premier League as they romped to a 5-0 win over Aston Villa, whose goal drought continued at the Emirates Stadium.
Under-siege Chelsea retained a five-point lead at the top of the Premier League after repelling Manchester City at Stamford Bridge.
Striker Daniel Sturridge enjoyed the perfect return from injury as he scored within 12 minutes of coming off the bench to give Liverpool's Champions League ambitions a timely boost.
Robin van Persie ended his dry spell with a spectacular finish that propelled Manchester United to a comfortable 3-1 win over Leicester.
Tottenham's Harry Kane further enhanced his growing reputation with two goals in a convincing 3-0 win over West Brom in the Premier League.
Christian Eriksen struck after 88 minutes as Tottenham killed off a stunning Che Adams-inspired Sheffield United comeback to reach the Capital One Cup final with a 3-2 aggregate win.
Branislav Ivanovic kept his head as Chelsea edged a frenetic, ill-tempered clash with Liverpool to advance to the Capital One Cup final.
Arsenal held firm to see off Championship side Brighton & Hove Albion and book their place in the fifth round of the FA Cup.
Liverpool avoided an FA Cup upset at home to Bolton but even on a day of shocks it was not much of an achievement after a toothless display against Championship opponents Bolton.
Leicester came from behind to net a stoppage-time winner from Jeff Schlupp which beat Tottenham 2-1 in the fourth round of the FA Cup at White Hart Lane.
Bradford brilliantly responded from two goals down to win 4-2 at Chelsea and dump the Premier League leaders out of the FA Cup at Stamford Bridge.
Chelsea loanee Patrick Bamford and Kike struck in the second half as Championship side Middlesbrough produced a shock 2-0 win over Premier League champions Manchester City in the FA Cup.
League Two Cambridge earned a FA Cup fourth-round replay at Old Trafford after Louis van Gaal and his Manchester United side endured an uncomfortable Friday evening at the Abbey Stadium.
Chelsea manager Jose Mourinho still has not won a semifinal against Liverpool after Raheem Sterling's flash of brilliance earned the Reds a deserved 1-1 draw.
Santi Cazorla and Olivier Giroud struck in each half as Arsenal stunned lacklustre champions Manchester City 2-0 at the Etihad Stadium.
Jermain Defoe was unable to continue his remarkable run of marking club debuts with a goal as Sunderland suffered a last-gasp defeat at former club Tottenham.
Chelsea sent out an emphatic Premier League title warning as Jose Mourinho's side stunned Swansea by winning 5-0 at the Liberty Stadium.
Fabio Borini scored his first Liverpool goal in almost two years as they comfortably despatched Aston Villa 2-0 in the Premier League.
Manchester United laboured to a third away league win of the season as they saw off QPR to strengthen the case any potential insider has on ousting manager Harry Redknapp.
Tottenham survived leaking two early goals to ease past Burnley 4-2 at White Hart Lane and into the fourth round of the FA Cup.
Goalkeeper Adrian was the unlikely match-winner for West Ham as the Spaniard scored the deciding penalty after the Hammers and 10-man Everton had battled tooth and nail for a place in the FA Cup fourth round.
Ronald Koeman gained revenge on his old adversary Louis van Gaal as Southampton recorded their first win at Manchester United for 27 years.
Alexis Sanchez scored another breathtaking goal as Arsenal closed back up on the top four of the Premier League with a 3-0 win over Stoke at the Emirates Stadium, where goalkeeper Wojciech Szczesny had been left on the bench.
Alan Pardew enjoyed a fairytale return to Selhurst Park, overseeing a spirited comeback against Tottenham as Crystal Palace secured a first Premier League win since November.
Manchester City took the derby spoils with a 3-1 victory over rivals Manchester United thanks to goals from David Silva, Sergio Aguero and Ilkay Gundogan, with Anthony Martial pulling one back for the visitors.
Arsenal extended their run without a league win to three games after a 1-1 draw at home to Wolves.
Chelsea's Alvaro Morata had three penalty appeals turned down as Maurizio Sarri's men drew 0-0 against Everton at Stamford Bridge.
Liverpool returned to the top of the Premier League with a controversial 2-0 win over Fulham at Anfield.
Juan Foyth banished the memory of his nightmare Premier League debut to score Tottenham Hotspur's only goal in a 1-0 win at Crystal Palace on Saturday.
Leicester City shared a 0-0 draw with Burnley at the King Power stadium on Saturday when football again took a back seat with emotional tributes to the club's late owner Vichai Srivaddhanaprabha.
Alvaro Morata made it four goals in his last four Premier League matches with a brace as he helped Chelsea to a 3-1 victory over Crystal Palace.
Manchester City made light work of Southampton as three goals inside the opening 18 minutes put them in complete control en route to a 6-1 win.
Tottenham Hotspur held on nervously to beat Wolverhampton Wanderers 3-2 away in the Premier League on Saturday after conceding two second-half penalties.
Arsenal forward Alexandre Lacazette rescued a point nine minutes from time as he cancelled out James Milner's opener in an entertaining 1-1 draw at the Emirates.
Marcus Rashford scored a winner deep into stoppage time as Manchester United snatched a victory against Bournemouth at the Vitality.
Tottenham Hotspur beat West Ham United 3-1 at the London Stadium with Son Heung-Min scoring in each half to book a place in the quarterfinals of the Carabao Cup.
Chelsea reached the League Cup quarterfinals thanks to two own goals in a 3-2 win over second-tier Derby County on Wednesday as Frank Lampard's return to his former club ended in disappointment.
Arsenal held off Blackpool for a 2-1 Carabao Cup win at the Emirates on Wednesday in a match that saw both team's finish with 10 players.
Manchester City returned to the Premier League summit on goal difference with a 1-0 victory over fifth-placed Tottenham Hotspur courtesy of an early goal by Riyad Mahrez at a subdued Wembley Stadium on Monday.
Manchester United bounced back from a disappointing week to beat Everton 2-1 at Old Trafford.
Chelsea went second in the Premier League with an emphatic 4-0 win at Burnley on Sunday which maintained their unbeaten start to the season.
Arsenal's 11-match winning run came to an end with a controversial 2-2 draw at Crystal Palace
Liverpool moved top of the Premier League on Saturday but their "creative mood" almost cost them, manager Juergen Klopp said after lowly Cardiff City briefly threatened a comeback before the Reds ran out 4-1 winners at Anfield.
Mesut Ozil was at his playmaking best as Arsenal stormed back from a goal down to beat Leicester City 3-1 at the Emirates on Monday night.
Two late goals in two minutes from substitutes Dominic Calvert-Lewin and Cenc Tosun saw Everton past Crystal Palace -- for whom Luka Milivojevic had a penalty saved -- 2-0 at Goodison Park.
Liverpool ground out a 1-0 win at Huddersfield as Mohamed Salah's goal took them back up to second place in the Premier League table.
Tottenham Hotspur secured a hard-fought 1-0 win over lowly London rivals West Ham United thanks to a deft first-half finish from Erik Lamela in their Premier League derby on Saturday.
Champions Manchester City took over sole control at the top of the Premier League table with an easy 5-0 win over Burnley, earning them a seventh win from their opening nine games.
Ross Barkley scored an injury-time equaliser as Chelsea salvaged a 2-2 draw with Manchester United on a dramatic afternoon at Stamford Bridge.
Riyad Mahrez smashed a late penalty over the bar as Manchester City and Liverpool played out a dull 0-0 draw at Anfield.
Ross Barkley scored his first goal for Chelsea to help defeat Southampton 3-0 at St. Mary's on Sunday.
Arsenal midfielder Aaron Ramsey scored the goal of the game as Unai Emery's men made it nine consecutive wins in all competitions with this 5-1 victory over Fulham.
A 90th-minute goal by Alexis Sanchez helped Manchester United complete an unlikely comeback and claim a 3-2 win over Newcastle at Old Trafford on Saturday.
Eric Dier scored his first Premier League goal since April 2017 as Tottenham Hotspur defeated Cardiff City 1-0 at Wembley Stadium on Saturday.