The 23-year old Mexico international is unhappy at White Hart Lane and could be set to depart this summer with his representative, Vicente Morales, suggesting that Italian giants Inter are keen.
But Morales played down talk of a swap deal for Brazilian goalkeeper Julio Cesar who could be on his way out at the San Siro.
"We have several options and we need to weigh them all up,” he told calciomercato.com.
"The truth is that Gio has always wanted to play in La Liga or Serie A so that's what we're aiming for.
"A swap deal with Julio Cesar? Often journalists talk without knowing the truth, but that is not the case here.
"Inter is one of the possibilities, I can't deny that."