Teenager Dan Gosling scored deep into extra time to give Everton a 1-0 win over city rivals Liverpool in their FA Cup fourth-round replay on Wednesday.
Bristol City, from English football's second-tier, pulled off a sensation in the League Cup quarter-finals as they knocked out the holders Manchester United 2-1 amid late and wholly improbable drama at their Ashton Gate home on Wednesday.
Arsenal re-established themselves as serious contenders for their first Premier League title since 2004 with a comfortable victory at lowly Bournemouth on Sunday.
Images from the English Premier League matches played on Saturday
Liverpool must take all three points when they welcome newly promoted Bournemouth to Anfield on Monday to keep up their momentum in the Premier League, midfielder Adam Lallana has said.
Liverpool's Raheem Sterling netted a sharply-taken double in a 3-1 win over Bournemouth on Wednesday to set up a League Cup semi-final with Chelsea.
Images from the football matches played across Europe on Tuesday.
Images from Sunday's English Premier League matches.
Mohamed Salah was inevitably on the scoresheet as Liverpool took full advantage of the inactivity of their top-four rivals to thrash West Ham United 4-1 at Anfield and provisionally move into second in the Premier League.
News of all that's transpired on and off the football field
A stoppage-time goal from Martin de Roon earned Middlesbrough an unlikely 1-1 draw at Premier League leaders Manchester City on Saturday.
Images from the EPL matches played on Saturday
Chelsea demolished the team that succeeded them as Premier League winners when champions Leicester City succumbed tamely 3-0 at Stamford Bridge on Saturday.
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.
United down Newcastle after Saints stun Chelsea on a dramatic night in the English Premier League.
IMAGES from the English Premier League matches played on Saturday