Manchester United have spent the summer pursuing Bale despite Real Madrid’s insistence the Wales international is not for sale.
Benzema, meanwhile, has emerged as a potential superstar target for Liverpool should Philippe Coutinho seal a move to Barcelona.
And Spanish outlet Don Balon claims both players could be allowed to leave the Bernabeu in the coming days.
Liverpool’s need for a striker remains obvious with Daniel Sturridge’s injuries plaguing his contribution in recent years.
Divock Origi has the potential to be an Anfield great but, speaking after the Reds’ 4-0 thumping of Arsenal on Sunday, Jurgen Klopp hinted he may be allowed to leave Merseyside.
Transfer News: Real Madrid may lose Gareth Bale and Karim Benzema to Man Utd and Liverpool
“We will see,” Klopp said.
“That’s not something to talk about here. If players come in, I think it makes sense to think about what we do on the other side.”
Benzema’s form has waned over in Madrid in recent seasons - which is part of the reason why they were so keen to sign Kylian Mbappe from Monaco prior to Paris Saint-Germain’s interest.
As for Bale, and Don Balon says there is a chance he may move to Manchester United.
The former Tottenham star has endured a difficult start to the new campaign with the rise of Marco Asensio also contributing to that.
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Transfer News: Real Madrid could sell Gareth Bale to Manchester United
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Transfer News: Liverpool are considering a late move for Karim Benzema
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Express Sport understands Arsenal want Asensio but Real are unlikely to let the 21-year-old leave.
