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Fleetwood Town and Bradford City are the lowest-ranked teams remaining and both face Premier League outfits.
The latter comfortably dispatched Robbie Savage’s Peterborough United, while the Cod Army completed one of the competition’s biggest giant-killings by edging past Arsenal on penalties.
The rest of the draw is made up of top-flight outfits who progressed from round four, with ties scheduled to take place during the week commencing 14 December.
Bournemouth appear to have found their mojo under Marco Rose and are on a five-game winning run in all competitions, including a famous UEFA Europa League victory over AC Milan.
They showed their class in a convincing 3-0 win over Aston Villa to reach this stage of the competition for the first time since 2018. The Cherries now face a stern test against former boss Andoni Iraola’s Liverpool side, who saw off Chelsea on penalties.
There is another all-Premier League affair between Crystal Palace and Sunderland at Selhurst Park.
The transition to life under Pierre Sage has been far from seamless with a sluggish start to the season, but they will hope a clinical display at Fulham will kick their campaign into life.
They will be hosting a Sunderland side who sit rock-bottom of the Premier League table, although they showed positive signs in their progression past Brentford with three goals in the space of 12 minutes proving the difference.
The story of the round came at the Highbury Stadium though as Fleetwood of Sky Bet League Two knocked out Arsenal, with 19-year-old centre-back Conor Haughey netting the decisive spot kick to overcome an 84-place gap in the football pyramid.
The Lancashire-basedoutfit will require another upset if they are to break new ground and reach the semi-finals, with the winner of Everton against Newcastle United standing in their way.
The final quarter-final tie pits League One’s Bradford up against nine-time winners Manchester City. The Bantams will look to channel the spirit of their memorable run to the 2012 final but a daunting test awaits, after Enzo Maresca’s side beat Brighton & Hove Albion on penalties.
Fleetwood Town vs Everton or Newcastle United
Manchester City vs Bradford City
Crystal Palace vs Sunderland
Liverpool v Bournemouth