Hull City and Swansea City earned valuable victories in their battle for Premier League survival but Middlesbrough slid further towards the drop after a 4-0 hammering at Bournemouth.
Arsenal re-established themselves as serious contenders for their first Premier League title since 2004 with a comfortable victory at lowly Bournemouth on Sunday.
Chelsea were given a stiff examination by Stoke City at Stamford Bridge on Saturday before extending their lead at the top of the Premier League.
Chelsea ticked off three more points in their Premier League title quest with a 2-1 victory over Manchester City on Wednesday but Tottenham Hotspur's Houdini-like 3-1 win at Swansea means the race is far from over.
Ashley Williams powered home a towering header in the 86th minute as Everton fought back to claim a 2-1 win over Arsenal as the title hopefuls blew the chance to return to the Premier League summit.
Manchester United's early season problems were compounded by a humiliating 4-0 loss to third-tier Milton Keynes Dons in the League Cup second round on Tuesday leaving new manager Louis van Gaal still looking for his first win.
Liverpool substitute Adam Lallana struck deep into stoppage time to snatch a 5-4 win over shell-shocked Norwich City in an extraordinary Premier League game at Carrow Road on Saturday.
News of all that's transpired on and off the football field
Arsenal moved top of the Premier League table but were unconvincing in a 0-0 home draw with Middlesbrough who were well worth their point on Saturday.