Spanish side Sevilla have rejected two bids of more than £20m from unknown clubs for Daniel Alves, who has made it clear he wants to join Chelsea.
Alves would fill a problematic position for Chelsea
The 24-year-old Brazilian right-back recently said joining Chelsea would be a "wonderful opportunity and I don't want to let it pass".
But on Friday president Jose Maria del Nido said: "Sevilla has rejected two offers for Daniel.
"One was for 31.5m euros (£21.3m) and the other for 35m euros (£23.7m)."
Alves, who has been at Sevilla for four-and-a-half seasons, has previously argued that "Sevilla should look after me".
He added: "In the four years I have been here I've given my best. I just want them to listen."
But Del Nido insisted: "We fulfilled the promise of listening, valuing and, in this case, turning down the offers that came in for Daniel.
"We do not have any problem with Daniel, who is a magnificent professional who will defend to the death the shirt of Sevilla."
Alves wants his future resolved by 15 August when Sevilla play AEK Athens in a Champions League qualifier.
"If I play for Sevilla in that match, I won't be able to play in the Champions League for another team so I hope everything can be sorted out as soon as possible," he stated.
Alves has played a prominent role as the Rojiblancos won back-to-back Uefa Cups.
Right-back was a problematic area for Chelsea last season, with Paulo Ferreira, Geremi and Lassana Diarra filling the slot at various times.