Match reportHarvey Elliott scores in added time to earn Liverpool victory at Crystal Palace
The Premier League points were hard-fought again for the Reds as Mohamed Salah's 200th Reds goal and Elliott's late strike earned the spoils in London.
Palace had earlier gone ahead through substitute Jean-Philippe Mateta from the penalty spot, ahead of Jordan Ayew's red card for two bookable offences.
Salah struck a minute on from the home forward's dismissal in the 75th minute and substitute Elliott secured the win with an impressive finish from distance in injury time.
Team news
Alisson Becker returned to the starting line-up for Liverpool's lunchtime visit to the capital after injury as one of five changes made by the Reds.
Elsewhere, Kostas Tsimikas and Jarell Quansah came into defence, while Ryan Gravenberch began in midfield and Darwin Nunez was restored to the attack.
Liverpool: Alisson, Alexander-Arnold, Quansah (Konate, 57), Van Dijk, Tsimikas, Endo (Gomez, 46), Szoboszlai (Jones, 74), Gravenberch (Gakpo, 57), Diaz, Salah, Nunez (Elliott, 74).
Unused subs: Kelleher, Doak, McConnell, Bradley.
First half
The early exchanges passed without real incident with the Reds held to shots from distance as both sides looked to dominate possession.
Liverpool began to have the better of proceedings though Luis Diaz and Dominik Szoboszlai had efforts blocked, while Salah was close to breaking in behind the home defence.
At the opposite end, Quansah was on hand to clear away twice in quick succession, with Palace looking to threaten via deliveries from out wide into the area.
The game sparked into life just ahead of the half-hour mark with the returning Alisson producing a stunning close-range save from Jefferson Lerma.
The No.1 pushed the attacker's effort onto the post to deny an opener and Trent Alexander-Arnold swept in to clear away the loose ball.
Palace then won a penalty a short while later amid a flurry of pressure, Odsonne Edouard's forward run and Virgil van Dijk's resulting trip leading to the spot-kick. However, the decision was overturned by VAR after Wataru Endo was taken down by Will Hughes in the build-up.
Ahead of the half-time interval, Szoboszlai saw another shot blocked as his curling effort from inside the area was deflected over the bar to signal the end of the opening period.
Second half
Nunez signalled the first intent after the break, heading a well-struck Diaz shot inches wide of the post, though the flag was belatedly raised to deny the striker's advances.
On the hour, VAR again intervened in the contest, this time awarding a penalty to the home side after Quansah was adjudged to have fouled substitute Mateta.
The forward himself converted from the spot to break the deadlock between the two teams, sending Alisson the wrong way from 12 yards out.
Liverpool responded with a number of substitutions, and one of those in Elliott was involved in the game's next major incident, with Ayew taking down the midfielder to pick up a second yellow card.
Following the sending-off, Liverpool rallied and Salah levelled the contest just two minutes later, striking home from inside the box following a Curtis Jones lay-off to score his 200th goal for the club.
The Reds continued to pressure the hosts with the man advantage, while Palace goalkeeper Sam Johnstone was also forced off due to an injury.
Elliott then shot over from inside the box but made no mistake moments later in the first minute of added time to give the Reds the advantage and complete a swift comeback.
The No.19 drove forward from midfield and drilled a strike into the net to spark wild celebrations with the visiting supporters.
In the final minute of stoppage time, Alisson was again called into action, pushing away a Joachim Andersen header to ensure the points were secured by Elliott's winner.
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