Vijay, who was dropped mid-way during the England tour, made a roaring comeback with an unbeaten century off 118 balls. The opener hit 129 runs off 132 deliveries before falling and his knock contained 16 boundaries and five sixes.
Meanwhile, Rahul, who was dismissed for three in the first innings, scored 62 runs and was involved in a 109-run partnership for the opening wicket.
India were at 211/2 in their second innings when stumps were drawn for the day.
Earlier, Cricket Australia XI finished at 544 runs in their first innings after India's first innings total of 358.
Brief scores: India 358 all out and 211/2 (Murli Vijay 129, KL Rahul 62; D Arcy Short 1/34) draw vs Cricket Australia XI 544 all out
(This story has not been edited by Social News XYZ staff and is auto-generated from a syndicated feed.)
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