The Welshman is returning to form after spending the first half of this season on the sidelines.
But despite being settled at Madrid these days, rumours continue to link Bale with a return to the Premier League.
Manchester United, Tottenham and Chelsea have been touted as potential destinations for the attacker in the summer.
But according to Spanish outlet Don Balon, Madrid chief Florentino Perez is ready to give Bale one more chance at the Bernabeu.
The publication claims the club president has told the 28-year-old he must do two things if he wants to stay at Madrid.
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Firstly, Bale must begin to show he is one of the world's greatest by chipping in with even more goals and assists.
Despite being a regular starter, the former Spurs man has failed to match the consistent level of form as Cristiano Ronaldo in recent times.
Secondly, Don Balon report that Bale must also start to learn Spanish.
Perez reportedly wants the winger to fully integrate in Spanish culture once and for all, to prove he is serious about remaining at Madrid.
Bale has never admitted he wants to leave the La Liga holders.
But Spanish football expert Guillem Balague believes the club have been looking for an opportunity to sell the player.
"I am convinced Real Madrid want to sell Gareth Bale," he told Sky Sports.
"That is not Bale's preferred choice, he would like to stay.
"Obviously somebody will have to buy Bale but I don't think it will be Spurs; it doesn't make sense for him to go back and it would cost Spurs too much to bring him back."