Ibrahimovic and Lukaku, who played together at Manchester United, exchanged words at the end of the first half before the pair had to be restrained as the players left the pitch for the interval.
Manchester United may field weakened teams in the league if a top-four finish seems beyond them in order to boost their chances of winning the Europa League, manager Jose Mourinho said.
Real Madrid failed in their attempt to sign France striker Kylian Mbappe from Paris Saint Germain on the final day of the transfer window as Cristiano Ronaldo completed his move from Juventus to Manchester United.
News of all that's transpired on and off the football field.
Romelu Lukaku scored for Chelsea in a 5-1 FA Cup third-round victory
Mourinho lamented that his staff had been left in the dark about the fitness of key members of his squad.
Chelsea goalkeeper Kepa Arrizabalaga remains the club's first choice but manager Maurizio Sarri is still uncertain if the Spaniard will be recalled to the starting team for Sunday's Premier League trip to Fulham.
Chelsea slipped up in their push for a Champions League spot when they lost 1-0 at home to Arsenal in the Premier League on Wednesday with Emile Smith Rowe's first-half goal settling the London derby after a defensive mix-up by the hosts.
News of all that's transpired on and off the football field
Arsenal missed their chance to go back to the top of the Premier League after being forced to play with 10 men for much of the game against London rivals Chelsea on Sunday.
Adrian fired past opposite number and Spanish compatriot Joel Robles immediately after the Everton keeper had crashed his spot kick against the crossbar as West Ham won 9-8 on penalties.
A preview of the line-up action in the English Premier League from October 20-22.
Tottenham Hotspur's status as Premier League title chasers was seriously harmed on Saturday as they fell to a first defeat in seven league games, losing the lead to go down 3-1 at home to Wolverhampton Wanderers.
As Chelsea's season suffered a final sorry implosion with an FA Cup defeat at Everton on Saturday, it was fitting that it should end with another display of fury from their angry young man, Diego Costa. While the inquest into the Premier League champions' dismal campaign will continue long after their 2-0 quarter-final reverse at Everton, the immediate topic consuming social media centred on the combustible Spain striker's sending-off, surprisingly his first for Chelsea. Alan Shearer, one of England's greatest strikers, joined the debate by telling BBC viewers the Brazilian-born forward had become "tiresome". Much of the attention focused on whether Costa, who became embroiled in a late face-to-face brouhaha with Everton's Gareth Barry, had gone as far as biting his opponent, Luis Suarez-style. Another question was whether he spat at the feet of referee Michael Oliver after being booked earlier for an altercation with Barry. "It's tiresome from him now. He spends too much time abusing and fighting and scrapping," Shearer said. "You can't do that every game because you turn the ref against you."
News of all that's transpired on and off the football field
Photos from the English Premier League matches played on Wednesday
United are 16th in the standings with a game in hand heading into the international break.
News of all that's transpired on and off the football field
An injury-time goal from Fulham's Darren Bent inflicted more pain on struggling Manchester United as the bottom club rescued a 2-2 Premier League draw on Sunday while Tottenham Hotspur beat top-four rivals Everton 1-0.
Raheem Sterling scored a hat-trick as champions Manchester City made a convincing start to their title defence with a 5-0 win over West Ham United.
Chelsea striker Diego Costa needs to learn to show respect to opponents after the Spaniard goaded Everton players during their pulsating 6-3 English Premier League win on Saturday, Toffees coach Roberto Martinez said.
A round-up of Wednesday's action in the UEFA Champions League.
Liam Delap, the son of former Stoke City defender Rory, scored the opener for Pep Guardiola's side in the 2-1 win at the Etihad Stadium
Manchester United manager Jose Mourinho said his French winger Anthony Martial is finally understanding exactly what is required from him after he delivered an outstanding performance in Sunday's 2-1 Premier League win over Everton.
Wolves midfielder Leander Dendoncker then hit the post with a powerful shot before Portuguese winger Podence made it 2-0, meeting Pedro Neto's cross from the right with a superb cushioned volley in the 27th minute.
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".
Manchester United eased the pressure on manager Ole Gunnar Solskjaer with a 3-1 win at Everton in the Premier League on Saturday with Bruno Fernandes scoring twice and Edinson Cavani grabbing his first for the club.
A preview of the top matches coming up in the English Premier League.
England head into Euro 2020 with a new factor for manager Gareth Southgate to deal with -- high expectations.
IMAGES from the English Premier League matches played on Saturday.
With Shkodran Mustafi also an injury doubt, manager Arsene Wenger is running out of central defensive options.
English Premier League leaders Liverpool will need to maintain their excellent recent record against Everton in Sunday's Merseyside derby if they are to hold their advantage over second-placed Manchester City.
IMAGES from Saturday's English Premier League matches.
The injury to the Chile forward, who was left out of the squad for Tuesday's Champions League victory over Young Boys, "will require further investigation to confirm its severity", the club added.
A preview of the line-up action in the English Premier League.
Manchester City took a major step towards retaining their Premier League title with a 1-0 win over second-placed Chelsea on Saturday, opening up a 13-point lead at the top of the table for Pep Guardiola's side.
Manchester City reached the League Cup final after recovering from a shaky start as Sergio Aguero's brilliant header sealed a 3-1 win over Everton in the semi-final second leg to clinch a 4-3 aggregate victory.
Leaders Manchester City kept up their unbeaten run with a 3-1 win over Bournemouth on Saturday. Manchester United salvaged a 2-2 draw at Southampton, who sacked manager Mark Hughes on Monday.
Champions Manchester United will travel to Swansea City for their first English Premier League match under new manager David Moyes, while Manuel Pellegrini's Manchester City are at home to Newcastle United on August 17.
Tottenham Hotspur brutally exposed Liverpool's defensive frailties as Harry Kane plundered two more goals in his side's 4-1 romp at Wembley on Sunday.