Bale has been linked with a move away from Real Madrid after an injury-plagued 18 months that has seen him fall out of favour.
Chelsea, Manchester United and Tottenham are all reportedly interested in securing his signature.
Former Spurs star Bale is eager to return to the Premier League, according to Spanish publication Don Balon.
His representatives have held talks with Real Madrid president Florentino Perez in recent weeks, it is claimed.
And Perez has reportedly assured Bale’s camp he will consider serious bids if they come in.
Bale has found himself on the bench for Real Madrid’s crunch games this season.
He was limited to substitute appearances in December’s El Clasico defeat and the Champions League games against Paris Saint-Germain while he was left on the bench for last week’s win at Juventus.
Real Madrid head coach Zinedine Zidane has admitted Bale is unhappy with his lack of minutes.
“I understand that he is not in a good mood, that’s normal,” Zidane said.
“Players want to play in every game. We know what a good player he is and what he has done.
“I have to take decisions but if he doesn’t play two games it doesn’t mean anything. I still think he’s an important player.”
Don Balon claim Bale is heading for the exit door but Zidane is confident Bale will stick around at the Bernabeu.
“My sensation is that he will stay but I don’t know everything that will happen,” Zidane said.
“He won’t lose any motivation, he’s like the rest of the squad. It’s my job to try and make sure he plays as well as always.
“He’s an important player but others played against Juventus and did very well. That’s football.”