Kraigg Brathwaite and Jermaine Blackwood both hit centuries to keep England's bowlers largely at bay as the West Indies held solid for much of day three.
Brathwaite and Shamarh Brooks headed out in the first session with the Windies on 71-1, but the latter fell on 39 inside the opening 30 minutes of the day when he sliced Jack Leach's delivery to Chris Woakes.
Ben Stokes struck shortly after coming into England's attack midway through the session, dismissing Nkrumah Bonner for nine lbw, as the tourists look set to enjoy another fine day after declaring on 509-7 on Thursday.
Stokes should have had Blackwood lbw, only for the umpire to decline their appeals, with Joe Root choosing not to review.
That was swiftly proved a mistake, with the replay showing the ball would have hit halfway up leg stump, Blackwood then surviving an lbw review for what could have been Saqib Mahmood's first Test wicket.
Braithwaite and Blackwood made the most of their fortune, frustrating England throughout the second session to reach tea at 196-3, on 79 and 50 respectively.
Windies skipper Brathwaite nudged Leach for two to bring up his century from 278 balls, and his control remained as he allowed Blackwood to stake centre stage.
Blackwood picked off some sloppy Stokes deliveries, though he very nearly edged Leach to Dan Lawrence before he clipped England's spinner for a single to bring up his third Test ton.
His stand finally came to an end on 102, when Lawrence trapped him lbw but, despite a late review against Alzarri Joseph, West Indies held on to reach stumps on 288-4.
Brilliant Braithwaite leads by example
Braithwaite was quite simply sensational, with his 109 not out coming from 337 deliveries so far, and he will be there again at the start of day four.
He now has 10 Test centuries, with three of those having come against England.
A long day for England's bowlers
News of Mark Wood's tour-ending injury came at the start of the day and it was a difficult time for England's bowlers.
Leach has already bowled 44 overs, but has just one wicket to show for it, while Stokes has an economical 1-34 to show for his efforts, though it took a cameo from Lawrence (1-8) to make the late breakthrough.
New Zealand take unassailable series lead after hard-fought victory over Pakistan
Pakistan slumped to a four-run defeat at the hands of New Zealand despite the efforts of Abbas Afridi and Fakhar Zaman.
The Black Caps took an unassailable 2-1 lead in the five-match T20I series, thanks in the main to Tim Robinson (51) and bowling duo William O'Rourke (3-27) and Ben Sears (2-27) on Thursday.
Set a target of 179 to win, Pakistan looked on their way to victory when Fakhar Zaman got going, but he was eventually dismissed on 61 by Sears.
Abbas took three wickets in New Zealand's innings, yet he could only contribute a single run to Pakistan's cause as the hosts fell just short in Lahore.
Data Debrief
Shadab Khan did not bowl a single delivery for Pakistan, which is the first time that has happened in a completed T20I innings.
He did take an exceptional catch to dismiss Mark Chapman, but it was not enough to inspire Pakistan.
IPL: Kohli and Patidar star to snap RCB's losing streak
Royal Challengers Bengaluru ended a six-match losing streak in the Indian Premier League by claiming a convincing 35-run win over Sunrisers Hyderabad.
Bengaluru still sit bottom of the standings, but have reason to cheer after Virat Kohli's 51 and Rajat Patidar's 20-ball 50 got the job done in style on Thursday.
Cameron Green chipped in with a useful 37 as RCB reached 206-7 from their 20 overs, and the Australian then took 2-12 with the ball as the Sunrisers failed to get going.
Shahbaz Ahmed top scored for Sunrisers with 40 not-out, but it was not enough as they only mustered 171-8 in response.
Data Debrief
Thursday's match marked Jaydev Unadkat's 100th in the IPL, and though he finished on the losing side, he did take a memorable three-for to celebrate the occasion.
It was Unadkat who dismissed Kohli, Patidar and Mahipal Lomror, finishing with figures of 3-30.
Bellingham alone won't win Euros for England - Desailly
England cannot rely on Real Madrid midfielder Jude Bellingham alone to win them the Euro 2024 crown, according to France great Marcel Desailly.
Bellingham has enjoyed a sensational debut campaign at Madrid that has seen him score 21 goals in all competitions and assist eight more.
Despite still being aged just 20, the youngster will already have the weight of a nation on his shoulders in the European Championship finals.
Desailly is a big fan of Bellingham, but he suggests Gareth Southgate may have to consider tweaking formation if England are to succeed.
"Too much quality can kill the quality," Desailly told Stats Perform. "This is your problem, you see?
"All the players have to be able to perform at the same time and help each other. The Dutch have had this kind of problem in the past.
"The Dutch always have high levels of expertise, but every time it was difficult for them to all unite together at the same time and perform.
"The talent is there for England, even though Fabio Capello has said their defence is a bit weak, which I agree with.
"But too much quality kills the quality. Let's see how the coach is able to adjust the side and make certain choices.
"He may have to remove some of the players into a different tactical system to protect the team for the performances needed."
Bellingham's latest goal came in added time to earn Real Madrid a 3-2 win over Barcelona in a thrilling Clasico clash last weekend.
He is already being mentioned as a frontrunner to win this year's Ballon d'Or, which could depend on how England perform in the Euros.
The ex-Borussia Dortmund ace is also being likened to one of the all-time greats in Zinedine Zidane, but Desailly says there is a long way to go.
"In the game against Barcelona, he wasn't outstanding yet he was still key for his team," the World Cup 98 and Euro 2000 winner said.
"Carlo Ancelotti took Vinicius Junior off because he knew what Bellingham could give him in that position.
"He also has the legs to defend and score the killer goal, or use his cleverness for the collective of the team.
"He's a good player. But trying to compare him to Zidane? It is difficult for us to accept he could be at that level.
"There are differences between them, but the potential of the talents is quite similar."
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