The Welshman has been a long-term transfer target for the La Liga giants, and Luka Modric recently stated he would love to play alongside Bale, his former-Spurs colleague, at the Bernabeu, further fuelling speculation a bid for Bale could be on the cards.
Recent reports also suggested the Wales winger was now Real Madrid’s top transfer priority for next summer, and that the La Liga champions are willing to pay £50m to sign the 23-year-old.
But A Bola suggest Real Madrid could look to reduce their cash outlay by including a player in the deal for Bale. Portugal international Fabio Coentrao is the most likely bet, as the former-Benfica star has failed to establish himself as a first-choice player under Jose Mourinho.
The left-back can operate further forward, but is a different type of player to Bale, who does his best work much higher up the pitch.
The report suggests Tottenham boss Andre Villas-Boas is a huge admirer of Coentrao, and could be tempted if the deal is right.
But Real Madrid are likely to want the transfer price to drop significantly if they include Coentrao in the deal, something Spurs chairman Daniel Levy is unlikely to accept.
Bale signed for Tottenham from Southampton while still a teenager, and the 23-year-old has gone on to become one of the game’s most outstanding, and unique, talents.