The Daily Star says Giovani admits he has at least two Spanish clubs chasing him.
The £6.5m-rated Tottenham forward scored for Mexico in their Gold Cup final triumph over the USA on Saturday in the Rose Bowl, Pasadena.
Seville and Real Zaragoza are both chasing the player, who claims he has already had offers from both clubs.
Giovani Dos Santos, 22, said: “I still don’t know where I am going but thank God I’ve had some offers.
“I will have to wait and see which is the best one.”