They spent about 10 days in the Maldives before the Australian government lifted a temporary ban on citizens who had been in India from travelling home.
Fellow fast bowlers Sean Abbott and Michael Neser are also in the squad, with the series finely poised after Australia won the first Test in Adelaide and India the second in Melbourne.
It was a determined and crucial knock against a world-class attack by the mild-mannered 32-year-old, who assumed the captaincy from Virat Kohli after he returned home for the birth of his first child.