Calciomercato claim Rodrigo is wanted by all three clubs who are looking to bolster their attacking options.
The report also mentions his whopping €120 million (£105.4 million) release clause. Everton, though, are expected to start their bidding at around €40 million (£35 million).
Rodrigo is a fine striker. This season the Spanish international has netted 16 goals in 35 games for Valencia and he could head to the World Cup with Spain in the summer.
But, for Everton, his signing would only further undermine the man they finally brought in to replace Romelu Lukaku in January.
It has not been plain sailing for Turkish striker Cenk Tosun since his Goodison Park arrival. Signed for a fee reported to be in the region of £27 million by the BBC, Tosun has had to wait for his chance under Sam Allardyce.
That tactic now appears to be paying off dividends with Tosun scoring four goals in his last three games for the Toffees.
Next season, after a full pre-season schedule, Tosun will rightfully expect to be the undisputed starting striker at Everton.
No doubt, the Merseyside club could look to bring in other strikers, but splashing out this amount on a player like Rodrigo would send the wrong message to Tosun.
Rodrigo, who spent time on loan at Bolton Wanderers earlier in his career, will not be willing to play second fiddle to Tosun. Everton will also not want to pay that sort of money for him if that’s the case.
Everton should instead give Tosun a try. With the likes of Dominic Calvert-Lewin, Oumar Niasse and Ademola Lookman in reserve, they would have a good striking department without any recruits.
Spending so much money on Rodrigo would just seem a lavish expense for a side that would do better bringing in someone lower key, and lower priced.