India won the T20I series in Australia on Jan 2016, beating them comprehensively by 3-0.
Below are the results:
1st T20 at Adelaide: India won by 37 runs
2nd T20 at Melbourne: India won by 27 runs
3rd T20 at Sydney: India won by 7 wickets
Virat Kohli was adjudged the Player of the series for his 199 runs. He hit three fifties, 90*, 59* and 50.