Later on Monday, Lukaku's brace helped Inter to a win over Napoli, taking them atop the standings on goal difference from Juventus.
Images from football matches played in Italy and Portugal on Sunday.
The FIFA 2022 World Cup will kick-off in Qatar on Sunday, November 20. Here is a list of the 26-man squads playing in the quadrennial global football extravaganza.
Romelu Lukaku scored two goals for Everton, one demonstrating rare strength and skill, to knock his old side Chelsea out of the FA Cup 2-0 in a dramatic quarter-final featuring two red cards on Saturday. All the frantic action happened in the final 13 minutes with Chelsea striker Diego Costa and Everton midfielder Gareth Barry sent off but their dismissals only came after Lukaku's brilliance had put the tie beyond doubt. The powerful Belgium striker, who never fitted in at Stamford Bridge and was sold to the Merseysiders for 28 million pounds ($40.28 million) two years ago, proved irresistible with his late five-minute double, especially with a first goal destined to go down in Goodison Park folklore. As the game meandered towards a replay, Lukaku conjured a 77th-minute goal from nowhere, muscling past two defenders on the left, powering into the box and, after some nifty footwork to bamboozle Gary Cahill, firing in a left-foot effort. Everton manager Roberto Martinez hailed it "one of the great goals we will see in the FA Cup".
Martinez's team face the 1998 World Cup winners in St Petersburg on Tuesday for a place in the final
Manchester City set a new top-flight record of 15 consecutive wins as their seemingly unstoppable march towards the English Premier League title continued with a 4-0 romp at bottom club Swansea City.
A dipping long-range strike from Kevin de Bruyne gave Belgium a late 2-1 win away at 10-man Switzerland in a friendly between the two Euro 2016 finalists on Saturday.
Images from the English Premier League matches played on Saturday
The plucky underdogs were brought down to earth as Manchester City, Everton and Stoke City reached the League Cup semi-finals on Tuesday, ending the hopes of second-tier sides who felled fancied opponents in the last round.
Images from the FA Cup matches played on Saturday
Holders France got their World Cup qualifying campaign off to a disappointing start with a 1-1 draw at home to Ukraine
Kingsley Coman scored one goal and set up another as Bayern Munich came from a goal behind to beat VfB Stuttgart 3-1 on Saturday and defend their top spot in the Bundesliga.
Southampton's 15 million pound ($19.19 million) purchase of Lazio centre back Wesley Hoedt brought the overall spend by England's 20 elite clubs to a record 1.184.9 billion pounds.
Arsene Wenger's final match at Old Trafford as Arsenal manager ended in defeat with a stoppage time header from substitute Marouane Fellaini earning the points for second-placed Manchester United.
Chelsea brought a whole new dimension to the Premier League title race when they handed Manchester City their first defeat of the season on Saturday to leave Mohamed Salah-inspired Liverpool as the new leaders.
Liverpool's Trent Alexander-Arnold scored with a spectacular strike as they overcame the loss of three players to suspected positive COVID-19 tests and conceding an early goal to beat Newcastle United 3-1 in the Premier League on Thursday.
Images from Saturday's Premier League matches.
Belgium finished five points clear at the top of League A Group 2 and will meet world champions France and former World Cup winners Italy and Spain in the final four next October.
Chelsea manager Antonio Conte is uncertain about the future of Diego Costa, as Spanish media reports have linked the striker with a possible return to Atletico Madrid. The 27-year-old, who joined the London club from Atletico in 2014, did not feature in Chelsea's 3-2 defeat by Real Madrid in a pre-season friendly on Saturday due to a back injury. The Spain international scored 12 times last season as the club finished 10th in the Premier League, with British media reports also linking Everton striker Romelu Lukaku with a potential move back to Stamford Bridge.
Images from the English Premier League matches played on Sunday
Italian sports daily Corriere dello Sport has been condemned by anti-racism group Fare for using the headline "Black Friday" along with a picture of players Chris Smalling and Romelu Lukaku to preview Friday's match between Inter Milan and AS Roma.
Sweden beat Italy 1-0 to gain the upperhand after their World Cup playoff first leg on a chilly night, while a young England side held Germany goalless and Belgium drew 3-3 with Mexico despite Romelu Lukaku's double but France eased to a 2-0 victory against Wales.
Romelu Lukaku scored twice to earn Belgium a 2-1 victory over Switzerland in the Nations League on Friday, lifting the mood in the country after a week marred by match-fixing allegations.
Italy were clinical in their approach as they beat Belgium 2-0 in their Euro 2016 Group E encounter on Monday.
Arouna Kone grabbed a hat-trick as Everton piled on the Premier League relegation worries for Sam Allardyce's Sunderland with a 6-2 demolition job at Goodison Park on Sunday.
Here are talking points from the weekend's Premier League action:
IMAGES from English Premier League matches played on Sunday.
Karim Benzema's hat-trick earned Real Madrid a 3-1 win at reigning European champions Chelsea in their Champions League quarter-final first leg on Wednesday. In another quarter-final match, Villarreal stunned six times European Cup winners Bayern Munich 1-0.
Dries Mertens and Michy Batshuayi were also on target for Belgium while Eden Hazard impressed with creativity and speed for the hosts, who start their World Cup campaign on Monday against Panama in Sochi.
Brazil have conceded only one goal in this World Cup, the equal most stingy rearguard along with Uruguay, and allowed only five shots on target in four games, the fewest of any side.
Images from the English Premier League matches played on Tuesday
Manchester City overcame a spirited Bournemouth side 3-1 on Saturday to maintain their unbeaten streak and extend their lead at the top of the English Premier League to five points.
With United unable to sign a replacement, the pressure will be on 21-year-old England forward Marcus Rashford to deliver the goals in a more central role than he has previously operated in.
A round-up of Sunday's action in the Premier League.
Inter Milan midfielder Christian Eriksen scored his first goal for the club since last month's move from Tottenham Hotspur to set up a 2-0 win at Ludogorets Razgrad in their Europa League last 32, first leg on Thursday. Getafe pulled off a surprise 2-0 home win over last year's Champions League semi-finalists Ajax Amsterdam, while Manchester United were held 1-1 at Club Brugge in wet and windy conditions. Wolverhampton Wanderers' Diogo Jota scored a second successive hat-trick in the competition to lead his side to a 4-0 victory over Espanyol and Arsenal won 1-0 at Olympiakos Piraeus with a late Alexandre Lacazette goal.
Sevilla coach Vincenzo Montella has suggested that the only way his side will be able to stop Manchester United forward Alexis Sanchez in Wednesday's Champions League last-16 first leg will be to tie the Chilean up with a rope.
The momentum that swept Leicester City away from relegation last season continued unabated at West Ham United on Saturday as their 2-1 win left them top of the Premier League.
An early Toby Alderweireld header was the prelude to three late goals that sent Belgium past Hungary and into a UEFA EURO 2016 quarter-final against Wales.
Manchester United manager Jose Mourinho has dismissed speculation about his future at the Premier League club, saying he would like a long-term stay at Old Trafford provided the team's owners are happy with his input.