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Liverpool, United Kingdom | AFP

Liverpool's Premier League title challenge suffered a potentially fatal blow as Crystal Palace won 1-0 at Anfield on Sunday.

A first home league defeat in 29 games for the Reds leaves Jurgen Klopp's men two points behind Manchester City and level with Arsenal, who can go top with victory over Aston Villa later on Sunday.

Eberechi Eze's early goal handed the Eagles a vital win in their battle for survival as they move eight points clear of the drop zone.

Crystal Palace's English midfielder Eberechi Eze celebrates after scoring the opening goal against Liverpool at Anfield. (AFP)

Crystal Palace's English Eberechi Eze (C) celebrates with teammates after scoring the opening goal against Liverpool at Anfield. (AFP)

However, Liverpool's final season under Klopp is unravelling.

Liverpool's German manager Jurgen Klopp gestures on the touchline during the English Premier League football match between Liverpool and Crystal Palace at Anfield. (AFP)

The League Cup winners were on course for a quadruple just a few weeks ago.

But after crashing out of the FA Cup to Manchester United, Liverpool succumbed to a first home defeat in any competition for 14 months when Atalanta stormed Anfield on Thursday to take a 3-0 first leg lead in their Europa League quarter-final tie.

Klopp's men have now won just three of their last eight games in all competitions and are showing clear signs of fatigue after already having played 51 games this season.

Liverpool's Uruguayan striker Darwin Nunez (L) has his shot saved during the English Premier League football match against Crystal Palace at Anfield. (AFP)

Slow starts have been a recurring theme of Liverpool's struggles of late and they were again forced to come from behind.

Alisson Becker made his long-awaited return in goal for the home side but he had no chance when Eze was left with a simple finish from Tyrick Mitchell's cross.

Palace were millimetres away from a second moments later when Andy Robertson produced a remarkable goalline clearance to deny Jean-Philippe Mateta after Virgil van Dijk's slip let the French striker through.

Liverpool had to resort to set-pieces to put the Palace defence under pressure in the first half.

Wataru Endo's scuffed effort came back off the crossbar.

Liverpool's Japanese midfielder Wataru Endo (R) hits the crossbar with this shot during the English Premier League football match at Anfield. (AFP)

Dean Henderson then produced a stunning save to prevent Luis Diaz levelling at the back post with an acrobatic effort.

Klopp reacted at half-time with the introduction of Dominik Szoboszlai and Trent Alexander-Arnold's return after two months out quickly followed when Conor Bradley went down injured.

Diogo Jota and Cody Gakpo were also sent on for the rescue mission from the bench.

Jota looked certain to equalise when picked out by Szoboszlai but the Portuguese forward's finish hit Nathaniel Clyne on the line with the goal gaping.

At the other end, Alisson showed why he is one of the world's best goalkeepers with a remarkable stop to turn Mateta's strike over from point-blank range.

Liverpool galloped immediately up the other end and Curtis Jones slotted wide with just Henderson to beat.

Mohamed Salah had one final chance to at least snatch a point, but his goalbound effort was brilliantly blocked by Mitchell in stoppage time.

Crystal Palace's Colombian midfielder Jefferson Lerma (R) clears the ball under pressure from Liverpool's Egyptian striker Mohamed Salah (C) during their match at Anfield. (AFP)

Unless Liverpool produce a stunning fightback against Atalanta in midweek, Klopp will have just two more games at Anfield before his momentous reign comes to an end.

Liverpool fans start to leave early as their team trail during the English Premier League football match against Crystal Palace at Anfield. (AFP)

But what looked like it could be a glorious goodbye is now at danger of turning into a damp squib.