Former Spurs star Bale has also scored a series of important goals that have kept Real in the title race in La Liga, including a late winner against Real Sociedad last week.
He is two goals short of his best-ever League haul of 21 at Spurs, having played fewer games, and this season became the highest-ever scoring British footballer in La Liga, breaking Gary Lineker's record.
While Messi may still be considered the best footballer in the world, the Argentine will never be on the market for Real which means the Spanish club cannot afford to take any risks over Bale's future.
Bale is incredibly happy in Madrid, both personally and professionally, and is currently prioritising trying to win even more silverware with Real over his long-term future.
With three years left on his present deal, he does not need to go looking for a contract.
But with Man City, Man Utd and Chelsea all desperate to bring Bale back to the Premier League, and Bayern Munich and Paris Saint-Germain tracking him, Real want to send out a statement over their star man.
All of Bale's suitors would be prepared to offer him huge pay rises to try to tempt him away from the Bernabeu, which leaves Real having to make a record-breaking offer to make sure talks are quick and easy.