Manchester United kicked off their Europa League campaign poorly, losing 0-1 at home to Real Sociedad, while Arsenal's new signing Marquinhos scored in a 2-1 win at FC Zurich on Thursday.
United were unable to create enough quality opportunities to get themselves the goal they needed.
European champions Spain claimed a place in the Nations League quarter-finals with a 3-0 home win over Serbia.
Thorgan Hazard's first-half goal enabled Belgium score a 1-0 victory over defending champions Portugal in Euro 2020 last 16 match at Estadio La Cartuja in Seville, Spain, on Sunday. The victory set up a quarter-final against Italy.
Mohamed Salah scored a late equaliser from a penalty kick as Liverpool escaped Old Trafford with a single point in a 2-2 draw with Manchester United to climb to even on points with Premier League leaders Arsenal.
A summary of Saturday's action in the Premier League.
The resumption of the German Bundesliga next weekend amid the COVID-19 crisis will give hope to other European leagues that they can also successfully return, according to Schalke 04 coach David Wagner.
CR7 started the game against the Toons in his second debut at Old Trafford.
Sweden missed out on the finals for the first time in 28 years on a night in which their fixture with Belgium was abandoned
Images from the FIFA World Cup qualifier matches played on Tuesday night.
The defeat halted Brighton's impressive three-game winning streak which included a 4-1 win over Chelsea and a 3-1 victory at Arsenal in the League Cup on Wednesday.
It was a third successive 0-0 draw for United after a stalemate at Chelsea on Sunday and against Real Sociedad last Thursday which completed a 4-0 aggregate win over the Spanish side in the Europa League.
Booted out by his beloved Manchester United, suspended by the Football Association and deemed over the hill by many, Cristiano Ronaldo answered everything in the best possible fashion with another record-breaking display on Thursday.
Images from the English Premier League matches played on Saturday.
Gonzalo Higuain scored his 30th league goal of the season but was later sent off and had to be restrained by his team mates as Napoli lost 3-1 at Udinese on Sunday, severely denting their Serie A title hopes.
English Premier League leaders Liverpool opened up a 22-point gap at the top of the table with second-half goals from Alex Oxlade-Chamberlain, Jordan Henderson and a Mohamed Salah brace giving them a 4-0 home win over Southampton. A rare double from defender Antonio Rudiger earned Chelsea a point in an entertaining 2-2 draw with third-placed Leicester City.
Images from the English Premier League matches played on Sunday.
Manchester United and Tottenham Hotspur built hefty leads with emphatic away wins in their Europa League last 32 first-leg matches but AC Milan were held to a 2-2 draw at Red Star Belgrade as the competition resumed on Thursday.
Images from the English Premier League matches played on Saturday.
Manchester United conceded two late own goals to allow Sevilla to snatch a 2-2 draw in the first leg of their Europa League quarter-final at Old Trafford on Thursday.
Chelsea, Manchester City and Manchester United enjoyed comfortable wins in the English Premier League on Saturday as fans returned to stadiums after an eight-month absence.
Liverpool moved to 76 points from 32 games with title rivals Manchester City on 74 points from one game fewer, with Pep Guardiola's side hosting Brighton and Hove Albion at the Etihad on Wednesday.
Luton pulled one back on the half-hour mark when Chelsea keeper Kepa Arrizabalaga failed to keep out Jordan Clark's low effort which squeezed between his hand and leg into the net.
Mohamed Salah hit a hat-trick as Liverpool humiliated Manchester United, romping to a stunning 5-0 victory at Old Trafford in the Premier League on Sunday that leaves Ole Gunnar Solskjaer's future in serious doubt.
AC Milan grabbed a 1-1 draw at Manchester United in the blockbuster Europa League last-16 first-leg at Old Trafford on Thursday.
Ole Gunnar Solskjaer's side, who had won their last ten away games in the Premier League, stay third on 27 points, a point behind second-placed Leicester.
Napoli went down 3-1 at home to RB Leipzig, Arsenal and AC Milan enjoyed comfortable away wins, and Borussia Dortmund's Michy Batshuayi scored twice to secure a 3-2 victory in Europa League last 32, first leg action
Given the improvements at Chelsea and Arsenal, it will still be a significant achievement for United to secure a top four finish and in the Champions League, a decent run in the knockout stages would also be a sign of progress.
Manchester United completed their first home and away Premier League double over Manchester City since the Alex Ferguson era with a 2-0 victory at Old Trafford on Sunday.. Earlier, two goals in each half from a rampant Chelsea earned them a 4-0 victory over Carlo Ancelotti's Everton, cementing their place in the Premier League's top four.
Arsenal's best chance to equalise came from a Granit Xhaka free kick which looked destined for the top corner until the Gunner's former keeper Emiliano Martinez at full stretch pushed it around the post with a fingertip save.
As the Premier League resumes following the international break all eyes will be on Cristiano Ronaldo's homecoming party at Old Trafford on Saturday, with the Portuguese international set to resume his Manchester United career after 12 years away.
Manchester City were confirmed as English Premier League champions for the fifth time in six seasons on Saturday without even having to kick a ball.
Chelsea manager Frank Lampard was delighted with the discipline of his team, who ended United's 19-game unbeaten run.
Images from Tuesday's action in the English Premier League
Images from the English Premier League matches played on Saturday.
Brazil are pre-tournament favourites to win a record-extending sixth title.
A summary of Sunday's action in the Premier League.
Portugal captain Cristiano Ronaldo scored his 99th international goal as the defending champions edged past Luxembourg 2-0
Should Manchester United win their next two games, the gap will be cut to four points and while only a collapse of astonishing proportions would deny Manchester City the title.
Images from Sunday's action in the Premier League.