The cap was reportedly gifted by Bradman to Pankaj "Peter" Kumar Gupta, the Indian tour manager, reported Fox Sports.
Virat Kohli could go on to shatter Sir Donald Bradman's 76-year-old record as India take on Australia in pink-ball Test at Adelaide Oval.
Bradman retired with an all-time high Test batting average of 99.94, and has been described by cricket authority Wisden as the greatest to "have ever graced the gentleman's game".
Star India batter Virat Kohli slammed his 30th Test century on Day 3 of the 1st Test against Australia in Perth.
Australian U19 star Sam Konstas joined legends Ricky Ponting and Don Bradman to be among the youngest players to hit twin Sheffield Shield centuries.
Sri Lanka's Kamindu Mendis has etched his name in history books
Indian cricket team batter Yashasvi Jaiswal has been extremely impressive in his fairly short Test career and he added a massive feat to his name during Day 2 of the first Test match against Bangladesh.
India vs England: In Dharamsala, on the second day of the fifth Test against England, Sarfaraz Khan 56 off 60 balls.
Ravindra Jadeja played one of the finest innings of his career during the third Test match vs England.
Yashasvi Jaiswal has been scoring heavily in recent times, including a magnificent double hundred against England.