Valencia have informed Pedro he needs to drop his personal terms to seal a move from Chelsea.
Off contract at the end of the month, Pedro is expected to depart Chelsea at the end of this extended season.
Valencia have been in contact, but Sport says the Spanish veteran's terms are proving too rich.
Los Che would welcome the attacker to the Mestalla next season - but he must accept a contract within their budget.
AS Roma are also in talks with Pedro and showing a greater willingness to pay what he's seeking.