Jack Wilshere's late strike gave Arsenal a 1-0 FA Cup third-round replay win over Swansea City and Wayne Rooney's first goal in over a month earned Manchester United a 1-0 victory over West Ham United on Wednesday.
Harry Kane's hat-trick turned Tottenham Hotspur's potentially tricky FA Cup fifth-round tie at Championship side Fulham into a Sunday stroll by the River Thames as they won 3-0 at Craven Cottage.
The Portuguese won the Europa League and League Cup in two full seasons at Manchester United but was sacked midway through the last campaign with the club sixth in the Premier League.
Former Brazil international Kaka made the most of his first appearance in the Major League Soccer All-Star Game as he helped lead his team past English Premier League side Tottenham Hotspur 2-1 on Wednesday.
Southampton were left in the Premier League's bottom three after losing an early lead to draw 1-1 at home to fifth-placed Tottenham Hotspur on Sunday.
Manchester City to beat second-tier Sheffield Wednesday 1-0 and reach the FA Cup quarter-finals but Jose Mourinho's problems piled up as his Tottenham Hotspur side were bundled out in a penalty shootout by Norwich City.
Swansea City midfielder Jonjo Shelvey took centre stage against his former club as Liverpool returned to the top of the Premier League with a 2-2 draw at the Welsh club on Monday.
List of major transfers in the top Premier League ahead of the 2019-20 season (all transfer fees as reported by British media):
Liverpool continued their perfect start to the season to stay top of the Premier League after a goal in each half gave them a 2-1 victory over Tottenham Hotspur at Wembley on Saturday.
Son Heung-min's thunderous finish helped Tottenham Hotspur secure a 2-0 victory at Leicester City and Liverpool eased past fourth-tier Exeter City 3-0 in FA Cup third-round replays on Wednesday.
Swansea City have sacked their Danish manager Michael Laudrup with the Welsh club having dropped into a Premier League relegation battle after a dramatic slump in form that has left them two points above the drop zone.
Arsenal eased past second-tier Reading 2-0 with Alex Oxlade-Chamberlain scoring twice, while Newcastle United romped to a 6-0 win over 10-man Preston North End and Hull City won 2-1 at Bristol City.
The Premier League kicked off in unique fashion on Saturday as an own goal by Tottenham Hotspur's Kyle Walker gave Manchester United a 1-0 victory in an undistinguished season opener at Old Trafford.
Llorente's second-half treble, a double from Son Heung-min and a late effort from Kyle Walker-Peters in driving snow at a freezing Wembley Stadium settled an game where tensions had threatened to bubble over before the break.
Jermain Defoe made himself an instant Sunderland hero with a sensational volleyed goal to seal a vital 1-0 win over North East rivals Newcastle United in the Premier League on Sunday.
Images from the English Premier League matches played on Sunday
Chelsea exploited Manchester City's decision to field a weakened team by romping to a 5-1 win in the FA Cup fifth round on Sunday as they joined London rivals West Ham United and Crystal Palace in the quarter-finals.
Headers by Romelu Lukaku and Nemanja Matic earned Manchester United an unconvincing 2-0 victory over Brighton and Hove Albion in a low-key FA Cup quarter-final played in freezing conditions on Saturday.
Inter Milan staged a late smash-and-grab raid as goals by Mauro Icardi and Matias Vecino secured a 2-1 home win over Tottenham Hotspur in their Champions League Group B opener on Tuesday.
Danny Rose scored a second-half equaliser to cancel out James Milner's penalty as Tottenham Hotspur came from behind to draw 1-1 with Liverpool at White Hart Lane on Saturday.
A summary of Thursday night's UEFA Champions League matches.