Everton and Roma have made their interest in Joaquin known to Valencia, after the player's agent confirmed that a move could be on the cards.
The duo have reportedly made tentative enquiries about the Spain international after it became clear that he has grown disillusioned with life at the Mestalla this season and could be tempted away.
Valencia's financial problems are set to result in various players moving on, with the club looking to balance the books by selling off a number of big names, including David Villa, David Silva and Raul Albiol.
"I cannot deny that there has been offers from Italy and the Premier League because European clubs are well aware of Valencia's situation because it has been well-documented," Joaquin's agent, Eduardo Espejo told Marca.
"I agree with what David Villa's agent said in the sense that things at Valencia have meant that (they have) been devalued, but I also cannot say how much the club will ask for him."
While the former Real Betis star's buy-out clause is set at €40m - with the club having paid €25m for him two years ago - it is believed that Valencia would accept a bid of between €15 and €18m for his services.
Joaquin was on the verge of joining Chelsea three seasons ago when Jose Mourinho was keen to take him to London, but the deal never materialised.