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The Reds were well below their best at Goodison Park and now need Arsenal and Manchester City to stumble in the final weeks of the season.
Attention is already turning to next season with Arne Slot emerging as the new frontrunner to take over from Jürgen Klopp.
And while contract calls will be needed on the likes of Mohamed Salah and Virgil van Dijk, another Reds ace could face an uncertain future.
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That is certainly the belief of former defender Jamie Carragher, who isn't convinced Darwin Núñez is the man to take Liverpool to the next step.
The Uruguayan struggled at Goodison Park on Wednesday night and missed a gilt-edged chance in the first-half, firing straight at Jordan Pickford.
"After two years, I don't think there is going to be a massive improvement in him.
He has averaged a goal every 0.55 matches since arriving with only two players beating his tally of 21 in the Eredivisie this season.
Admittedly, the standard of opposition defender is not as high as in the Premier League but it is when provided with the chance to score, that Giménez outshines Liverpool's record signing.
As per FBref, his shot conversion rate stands at 10.4 per cent.
His opportunity at Goodison Park took his tally of 'big chances missed' to 26, only beaten by Erling Haaland.
It is believed that any club will have to smash the Eredivisie transfer record, which was set by Manchester United to sign Antony, standing at $93m (£87m/€100m).
Should Slot get the Anfield job, he could well give Liverpool the upper hand in any potential transfer dealings.
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