The match is a tune-up to the Australian women's team's three-match One-Day series against the hosts to be played in Vadodara from March 12.
Yesterday and today, the visitors warmed up at the Mumbai Cricket Association's Bandra-Kurla Complex facility, where the two practise games are scheduled to be held.
The Aussies are led by veteran batswoman Meg Lanning. They would also use the match to adapt to the conditions and the weather in Mumbai where a T20 tri-series, also involving England, is to be played from March 22.
Lanning said, "All the girls have been looking forward to it and it's nice to get couple of training days for adapting to the conditions and getting used to it, the different pitches. Thats the key of the first few days and then getting to the matches."
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"Weve got some good variety of spinners. I guess these two matches will give us a chance to know how they perform," she added.
India A is to be led by all-rounder Anuja Patil.
Australia ODI squad: Meg Lanning (c), Rachael Haynes (vc), Nicole Bolton, Nicola Carey, Ashleigh Gardner, Alyssa Healy, Jess Jonassen, Sophie Molineux, Beth Mooney, Ellyse Perry, Megan Schutt, Belinda Vakarewa, Elyse Villani, Amanda-Jade Wellington.