Yaya Toure's deflected equaliser gave Manchester City a 1-1 draw at Stoke City on Saturday to reclaim top spot in the Premier League but two more away dropped points handed the advantage to Manchester United in the title race.
Last year's FA Cup runners-up Stoke City had a man harshly sent off but then scored a controversial penalty as they reached the quarter-finals with a 2-0 win at fourth tier Crawley Town on Sunday.
Stoke City defender Ryan Shawcross was called into the England squad for the first time on Saturday, hours after he had been sent off for a challenge that left Arsenal's Aaron Ramsey with a serious leg injury.
An injury-time goal by Jan Venegoor of Hesselink gave Hull City a 2-1 home win over Stoke City on Sunday and eased the pressure on manager Phil Brown.
Goals from Adam Lallana and Roberto Firmino put the home side ahead by halftime and they romped to victory with a Giannelli Imbula own goal and Daniel Sturridge strike after Stoke threatened an upset with a Jonathan Walters header.
Manchester United's hopes of launching a New Year title challenge suffered a setback at the first opportunity on Thursday when they could only draw 1-1 at mid-table Stoke City in an all-action Premier League clash.
Images from the English Premier League matches played on Saturday
Jamie Vardy became the first player to score in 11 consecutive Premier League matches when he gave Leicester City the lead in a 1-1 draw with Manchester United at the King Power Stadium on Saturday.
The visitors went ahead through Eric Maxim Choupo-Moting but Pascal Gross equalised just before the break only for Kurt Zouma to head Stoke back in front moments later. Jose Izquierdo then levelled for Brighton on the hour to earn a deserved point.
Images from the English Premier League matches played on Saturday
Jordon Ibe came off the bench to drive home the winner as Liverpool took a big step towards reaching the League Cup final with a 1-0 victory at Stoke City in the first leg of their last-four tie on Tuesday.
Liverpool were sent spinning to a 2-0 defeat at promoted Burnley in the English Premier League on Saturday while Chelsea came from behind to win 2-1 at Watford thanks to late goals from Michy Batshuayi and Diego Costa.
Photos from the English Premier League matches played on Wednesday
Swansea City's hopes of salvaging their place in the Premier League suffered a potentially grievous blow as Ryan Fraser's deflected strike earned Bournemouth a 1-0 win on Saturday to secure another season of top-flight football for the Cherries.
Liverpool manager Brendan Rodgers says his side must tighten up defensively after a 5-3 victory over Stoke City on Sunday in which Daniel Sturridge resumed his lethal strike partnership with Luis Suarez.
Manchester United manager Louis van Gaal says he has been overwhelmed by the support he has received from fans even after defeats but, if he does not act to strengthen his defense, he might soon find their patience running out.
Images from the English Premier League match played between Chelsea and Stoke City on Monday
Swansea City manager Garry Monk risks punishment from the FA after accusing referee Michael Oliver and Stoke City winger Victor Moses of cheating in his team's 2-1 Premier League defeat at the Britannia Stadium on Sunday.
Out-battled for an hour by their modest south coast opponents, Arsenal belatedly sparked into life and Olivier Giroud's glancing header two minutes into stoppage time completed their remarkable recovery from 3-0 down.
Manchester United maintained their push for a Champions League place after a Juan Mata goal on Saturday pushed Norwich City to the brink of relegation.
Substitute Jesse Lingard struck twice in the second half as Manchester United fought back from 2-0 down to earn a 2-2 Premier League draw with Burnley at Old Trafford on Tuesday.
With Liverpool still to visit Chelsea, who trail them by nine points with two games in hand, Juergen Klopp's side may have to beat Brighton & Hove Albion on May 13 and rely on their superior goal difference to qualify for the Champions League, assuming they do not secure it by winning this year's trophy.
'We want to thank him (Costa) for what he did with this club. We wish him all the best for the future'
Liverpool scored a stunning 3-2 win over bottom side Queens Park Rangers with four goals coming in a frenzied seven-minute finale at Loftus Road as the drama continued in the Premier League on Sunday.
Chelsea heaped more Christmas misery on Liverpool with a 2-1 victory at Stamford Bridge and Olivier Giroud ended a seven-game scoring drought to help Arsenal win 1-0 at Newcastle United and return to the top of the Premier League on Sunday.
Manchester United ushered in a new era under interim manager Ryan Giggs with a 4-0 Premier League win over Norwich City on Saturday full of the verve and attacking intent often absent under the sacked David Moyes.