Warner Bros is said to have drawn up a shortlist of stars to take on the role of Bruce Wayne in the upcoming Batman vs Superman project, according to The Hollywood Reporter.
Gosling is the youngest actor on the supposed list at 32, followed by British star Matthew Goode.
True Blood star Joe Manganiello - who narrowly missed out on playing Clark Kent in Man of Steel - is also said to be in contention for Batman.
Sources have also claimed that Josh Brolin is the "frontrunner" to play the role, while The Hobbit's Richard Armitage and Pacific Rim's Max Martini have also been mentioned.
However, Warner Bros sources have stated that casting hasn't yet begun, as the script for the project has not been completed.
The studio is also said to be seeking an actor in his mid-40s to play a "grizzled" version of Batman in the film.
Frank Miller is currently advising director Zack Snyder and others on a story, which has yet to be finalised.
Batman vs Superman is scheduled for release in 2015, with a possible shoot to begin in early 2014.