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If the latest reports are to be believed, the duo could be joined by another of the Premier League's biggest names.
Here is the Liverpool.com verdict on the transfer gossip to emerge around the Reds.
Alexander Isak (Newcastle)
Liverpool is confident of signing Alexander Isak this summer, according to Rousing the Kop.
It's claimed that the Newcastle striker has been made the Reds' top target as they look for a new forward, with Darwin Nunez expected to leave.
There is a warning that getting Isak out of St James' Park will be costly to Liverpool, but it's suggested that the Reds believe they can land the Swedish international, who is viewed as the best option on the market.
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Liverpool.com says: Signing Isak would be a huge coup for Liverpool, and there is no doubt that he would be a game-changer for the Reds - especially if they can keep Salah to play alongside him
It goes without saying he will not come cheaply, but Liverpool shouldn't pass up the opportunity to sign a transformative signing if the chance is there.
Jamie Gittens (Borussia Dortmund)
Jamie Gittens would like to leave Borussia Dortmund and take the next step in his career this summer, according to Sky Germany
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