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That is according to the Daily Mail, with talent valued at a collective $233 million (£175 million) touted as possible options.
It reports that Bournemouth defensive duo Dean Huijsen and Milos Kerkez (more on the latter in a minute) are both admired.
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And if a big enough offer came in for another player in a different part of the pitch, that could also be added to the to-do list.
Liverpool.com says: Huijsen and Kerkez would be great buys; there is a bit more of a question mark over Ekitike because of his youth and inexperience.
Milos Kerkez (Bournemouth) and Morgan Rogers (Aston Villa)
Liverpool admires both Kerkez and Alexander Isak but might not be willing to pay the asking price for either of the pair, according to The Telegraph.
Isak, in particular, is going to be a very costly player, with Newcastle United desperate to keep him.
With Kerkez, the Reds are said to be "reluctant to overpay for a left-back", with sporting director Richard Hughes aiming to bring someone in who can share the load with Andy Robertson
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