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That said, the likelihood of a deal being completed diminishes with each passing day.
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At some point, Liverpool will, rightly, need to reassess their options.
It’s a huge risk to enter the season with so few attacking choices, and despite Federico Chiesa’s remarkable heroics against Bournemouth last week, it’s clear the squad still lacks depth.
Whether Liverpool decide to pivot toward a more versatile attacker, such as Rodrygo, with the intention of revisiting the Isak pursuit in January remains to be seen.
There was also little to suggest the player would be open to a move, given he only joined the La Liga club last summer.
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Sky has slashed the price of its Essential TV and Sky Sports bundle for the 2025/26 season, saving members £192 and offering more than 1,400 live matches across the Premier League, EFL and more.
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A report from Spanish outlet MARCA back in May claimed Liverpool had already made initial contact over a possible move, with Arsenal also in the mix should Alvarez become available.
Alvarez remains under contract at Atletico until 2030, having signed a six-year deal last summer.
Where the truth lies remains unclear, but it’s a situation Liverpool - and no doubt a number of their Premier League rivals - are likely keeping a close eye on.
Alvarez is undoubtedly one of the most promising young strikers in Europe, despite previously struggling to displace Erling Haaland at Manchester City.
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He knows the Premier League well, though, and would no doubt hit the ground running should he return and help Arne Slot's side with their Premier League title defence.
For more news relating to Arsenal, visit our sister site AFC Latest Live.