The Wales international put pen to paper on Monday on a deal which ties him to Real until June 30, 2022, which expires just before he turns 33.
Bale has been regularly linked with a big-money move back to England, with Manchester United reportedly leading the chase for his services, but the former Tottenham player only has eyes for Real.
Asked if he could envisage ending his top-flight career at the Bernabeu even if it meant not playing in the Premier League again, Bale told a press conference: “Yeah, for sure. The reason I signed here for so long is because I’m very happy here.