The Reds are very keen to replenish the squad of manager Arne Slot, who has taken over from Jurgen Klopp.
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Per a report in Tuttomercatoweb, Atalanta are keen to sell Koopmeiners for a mega fee.
The Italian side, who won the Europa League last term, are seeking around £50m for their playmaker.
Juventus are among the teams showing a serious interest in the pass master this summer.
However, the Reds can likely outbid the Italian outfit, which should put them in pole position for the transfer.