A 'globalised' sport is a sport that has broad popularity across the globe. There may be many professional leagues for this sport across the globe and one would expect an average global citizen to be passively aware of the sport, how it's played, and some of its stars. Examples include soccer, basketball, and running.
By contrast, a 'localised' sport is a sport that is primarily popular in one or a small handful of countries. Even if someone from another country is aware of the sport, they are unlikely to know many specific details. Examples include sumo, AFL, and kabaddi.