Goals from Richarlison and Gylfi Sigurdsson ensured Everton picked up the three points with a 2-0 win over Chelsea on Sunday.
Brighton hit back from two goals down with two minutes to play to defeat Millwall on penalties to reach the semi-finals of the FA Cup.
Liverpool moved two points clear at the top of the Premier League table as they edged a nervy 2-1 victory at lowly Fulham.
Wolves qualified for their first FA Cup semi-final for over two decades courtesy of an impressive 2-1 win over Manchester United.
Manchester City controversially came back from 2-0 down to beat Championship outfit Swansea 3-2 and reach the semi-finals of the FA Cup.
Matt Ritchie's last-gasp equaliser helped Newcastle grab a 2-2 draw against Bournemouth at the Vitality Stadium on Saturday.
Javier Hernandez inspired an amazing comeback as West Ham secured a 4-3 win at home to rock-bottom Huddersfield Town.
Substitute Wes Morgan headed home a late winner as 10-man Leicester City claimed a 2-1 victory at out-of-form Burnley.
Substitute Andre Gray scored the winner as Watford defeated Crystal Palace 2-1 to reach the semi-finals of the FA Cup.
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Pierre-Emerick Aubameyang scored twice with Ainsley Maitland-Niles also on target as Arsenal beat Rennes 3-0 for a 4-3 aggregate win.
Olivier Giroud netted a hat-trick as Chelsea won 5-0 away to Dynamo Kiev to power through to the quarter-finals of the Europa League.
There will be four English sides in the quarter-finals of the Champions League after Liverpool knocked Bayern Munich out.
Manchester City smashed Schalke 7-0 at the Etihad Stadium to book their place in the Champions League quarter-finals 10-2 on aggregate.
Arsenal boosted their Premier League top-four aspirations with a 2-0 win over rivals Manchester United at the Emirates Stadium.
Chelsea forward Eden Hazard struck late with an injury-time goal to salvage a 1-1 draw against Wolves on Sunday.
Liverpool cut their deficit to Manchester City back down to one point with a battling 4-2 victory over Burnley.
Manchester City have opened up a four-point gap on Liverpool as Raheem Sterling scored all three goals in their 3-1 win over Watford.
Bournemouth won their first away game in nine attempts thanks to a routine display against strugglers Huddersfield Town on Saturday.
Cardiff ended a run of three straight defeats with a convincing 2-0 win over a lacklustre West Ham side.
A thrilling second-half display saw Southampton come from behind to beat Tottenham 2-1 at St Mary's Stadium on Saturday.
Newcastle United produced a thrilling comeback as they hit back from 2-0 down to beat mid-table Everton 3-2 at St James’ Park.
Jamie Vardy scored two late goals as Leicester City beat Fulham 3-1 in Brendan Rodgers' first home game in charge of the Foxes.
Anthony Knockaert scored a sublime winner as Brighton beat Crystal Palace 2-1 at a blustery Selhurst Park.
Chelsea eased to a comprehensive 3-0 victory at home to Dynamo Kiev in the first leg of their Europa League last-16 tie.
Arsenal had Sokratis Papastathopoulos sent off as they lost the first leg of their Europa League round of 16 tie against Rennes 3-1.
Manchester United created history as they won 3-1 at Paris Saint-Germain to reach the Champions League quarter-finals on away goals.
Tottenham beat Borussia Dortmund 1-0 on the night and 4-0 on aggregate thanks to Harry Kane's second half strike.
Liverpool missed the chance to go to the top of the Premier League after being held to a 0-0 draw in the Merseyside derby at Everton.
Fulham were unable to win their first game under the charge of Scott Parker as they were beaten 2-1 at home by Chelsea.
Andre Gray scored in injury time as Watford beat Leicester 2-1 to condemn Brendan Rodgers to defeat in his first game in charge of the Foxes.
Declan Rice and Mark Noble both struck in the first half as West Ham cruised to a 2-0 win over Newcastle United on Saturday.
Romelu Lukaku’s late goal fired Manchester United back into the Premier League's top four with a 3-2 win against Southampton.
Crystal Palace pulled further clear of the Premier League’s relegation places with an impressive 3-1 win at Burnley
Brighton eased their relegation fears with a hard-fought 1-0 victory against rock-bottom Huddersfield Town.
First-half goals from Diego Jota and Raul Jimenez saw Wolves secure a 2-0 victory against Cardiff City on Saturday.
Riyad Mahrez scored the crucial goal as Manchester City returned to the top of the table by beating Bournemouth 1-0.
Pierre-Emerick Aubameyang missed a late penalty as Arsenal had to settle for a 1-1 draw against Tottenham in the north London derby.