Manchester United and Chelsea have kept alive their hopes of silverware by scoring late winners to ease into the last eight of the FA Cup.
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Liverpool also advanced to the quarter-finals - with their youngsters coming through again for Jurgen Klopp - where they will be joined by Wednesday's other winners Wolverhampton Wanderers.
Casemiro stooped to head in an 89th-minute goal to seal United a 1-0 win at Nottingham Forest and set-up a last-eight meeting with Liverpool, whose youthful team beat second-tier Southampton 3-0 thanks to goals by 18-year-olds Lewis Koumas and Jayden Danns, who scored twice.
Chelsea - fresh off a loss to Liverpool in the League Cup final - left it even later, Conor Gallagher coming off the bench to score in the 90th minute for a 3-2 victory over Championship side Leeds.
Chelsea will play another second-tier team, Leicester, in the last eight.
Mario Lemina's second-minute goal gave Wolves a 1-0 win over Brighton in an all-Premier League clash.
They will be at home to Championship team Coventry in the quarter-finals.
Winning the FA Cup could salvage disappointing seasons for United and Chelsea.
Neither team put in a convincing display in the fifth round, but they are still alive in the famous old competition and have home draws to look forward to.
After a morale-sapping loss to Fulham in the league on Saturday, another defeat would have left United in a mess heading into Sunday's Manchester derby against City.
Instead, Red Devils boss Erik ten Hag was quick to point out that his team have now won seven of their nine games in all competitions in 2024.
"This team, what they showed today, they have to show it every game," Ten Hag said.
"We found a way to win."
Chelsea manager Mauricio Pochettino has come under renewed pressure in the wake of his expensively assembled team's loss in the League Cup final.
Now he is one game away from a return to Wembley Stadium, this time for the FA Cup semi-finals.
"In the context of the week, I am happy," Pochettino said.
"It is about building our confidence again."
Amid an injury crisis, Liverpool manager Klopp turned to a bunch of academy products to help beat Chelsea in the League Cup final and he kept faith in them against Southampton three days later at Anfield.
The average age of Liverpool's team on Wednesday was 23 years, 128 days.
Klopp made six changes to the line-up, giving a debut to Koumas and starting 19-year-old midfielders James McConnell and Bobby Clark after their starring roles off the bench at Wembley.
There were six players aged 21 or younger in the team.
Liverpool, who lead the Premier League and are into the round of 16 in the Europa League, stayed on course for a quadruple in Klopp's final season.
QUARTER-FINAL DRAW (matches to be played March 16-17)
Wolves v Coventry
Manchester United v Liverpool
Chelsea v Leicester
Manchester City v Newcastle
Australian Associated Press