It is still unclear where Senesi will go and, although he is understood to have spoken to a number of clubs, he is carefully choosing his next move.
Chelsea sources have played down any suggestion they will make a move for him this summer, with Tottenham, Barcelona and Juventus also linked.
However, Senesi just turned 29 and this could be the last – and perhaps the only – major contract of his career.
His demands for substantial personal terms led to him leaving Bournemouth after three offers, and will be key for any club looking to sign him, potentially saving on a transfer fee but having to offer a competitive wage.
That will be key to any deal for Senesi, whose stock has never been higher after making only his second and third appearances for Argentina this campaign.