Tottenham powered into fourth place in the Premier League with a 5-1 rout of Newcastle, while West Ham's 2-1 victory pushed Everton deeper into relegation trouble on Sunday.
Son Heung-min fired Tottenham to a crucial 3-1 win against West Ham as the South Koreans double lifted his side within three points of the Premier League's top four on Sunday.
Kai Havertz eased Chelsea's gloom over Roman Abramovich's sanctions as his late goal sealed a 1-0 win against Newcastle in the first home game since the Blues were plunged into crisis by the damaging restrictions.
Liverpool's Sadio Mane sealed a 1-0 win against West Ham that moved the Premier League title chasers within three points of leaders Manchester City, while Thomas Tuchel slammed the Chelsea fans who sang Roman Abramovich's name during a minute's applause for Ukraine on Saturday.
Under fire West Ham United star Kurt Zouma may face prison in his native France over the video of him abusing his cat.
Premier League leaders Manchester City will travel to Peterborough in the FA Cup fifth round.
Marcus Rashford struck with virtually the last kick of the game to take Manchester United into the Premier League top four at West Ham's expense with a 1-0 win on Saturday.
Liverpool kept their slim hopes of reeling in Manchester City at the top of the Premier League alive by seeing off Brentford 3-0 at Anfield to move up to second in the table on Sunday.
Kidderminster, the lowest-ranked team remaining in the FA Cup, have been drawn against West Ham in the fourth round.
Tottenham dropped two precious points against 10-man Southampton on Tuesday as West Ham hammered Watford 4-1 to turn up the heat in the race for a coveted Premier League top-four spot.