The Reds have been heavily linked with the Spaniard in recent weeks as Jurgen Klopp goes in search of a replacement for Gini Wijnaldum.
Any hopes the Anfield club had of landing a deal seemed to fade as Barcelona offered the opportunity of a swap deal involving Atletico favourite Antoine Greizmann making a return to the capital.
Twitter: BREAKING: Saul-Griezmann Swap deal is DEAD. The deal is extremely complicated. #Barca #Atletico
(via @MatteMoretto) (@Transferzone00)
Saul played a leading role last term as Diego Simeone’s side lifted the La Liga title.
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Signing the 19-cap Spain ace would certainly be a major statement of intent from the Reds this summer.
After what was a disappointing campaign as reigning champions last time out, Klopp will be desperate to add sufficient quality in order to compete once again.
Albeit the German boss is relatively well-stocked in terms of midfield numbers, both Alex Oxlade-Chamberlain and Naby Keita have proven to be less than reliable over the course of a season.