The 22-year-old is expected to leave Benfica at the end of the season, with several top clubs believed to be interested in signing him.
Newcastle have been linked with a summer swoop and the Magpies are expected to splash the cash when the window swings open once again.
Arsenal are also interested in Nunez and could be boosted in their pursuit if they can secure Champions League football for next season.
Benfica are aware of the interest he is garnering but they are yet to receive any offers for Nunez, according to Sky Italia.
The Portuguese giants are waiting for the offers to arrive, but they have a massive price in mind for the striker.
Benfica have set an initial asking price of €75m for the Uruguayan ahead of the next transfer window.
They believe that they should get a big fee for him given the resources of the clubs keen to land him.
Nunez, who has more than three years left on his contract, has scored 26 times in 33 appearances this season, including four goals in the Champions League.
