According to Tuttomercatoweb, Genoa wanted £16.5m for Frendrup over the summer, but it is understood they will only ask for £12.4m in January as they look to sell to improve their financial situation.
The Premier League trio are said to be keeping an eye on the Denmark international, who said it would be a dream to play for Liverpool in the past.
Speaking to Sjællandske Nyheder in 2018, he said: “It's a dream I've always had, and I believe it will succeed. If I work hard, I believe in it.”
With reports suggesting that Wataru Endo could leave the club in 2025, the Reds could go one step further and match Genoa's asking price to strengthen their midfield in a season where they look unstoppable in all competitions.
Frendrup has also been linked with AC Milan in recent weeks, meaning teams will have to be quick when the window opens if they want to add him to their ranks, with several top sides bidding for his signature.
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