Real president Florentino Perez has been considering the sale of Bale for much of the season, largely due to fitness concerns.
And though Bale is now proving his long-term problems appear to be past him, Perez has decided to put the Welshman on the market - due to PSG star Neymar.
Real representatives met with the father of Neymar a fortnight ago, where he was informed Perez was willing to pay €400m to bring the former Barcelona star back to Spain.
However, Sport says any deal will be dependent on raising much of the funds needed, which will include selling Bale. Real will seek to recoup the €101m they paid Tottenham for the winger four years ago.
Manchester United, Chelsea, Liverpool, Manchester City and even Tottenham have all been in contact with Real to register their interest ahead of the summer market. Any five of the Premier League giants are willing to do business for Bale, now that he is proving his fitness, but only for the right price.