The midfielder has just over a year to run on his existing deal and is facing a major pay-cut if he wants to stay.
Don Balon says Valverde is staying on the margins of the debate, reluctant to take sides in the issue.
Meanwhile,Juventus have made contact with Iniesta’s camp about a summer move Turin.
Juve are willing to hand Iniesta an extended €4.5 million-a-year deal – but only if he can negotiate a clean release from his Barca contract.