Smriti Mandhana slammed a 39-ball 45 to power defending champions Sydney Thunder to a six-wicket win over Sydney Sixers.
India T20 skipper Harmanpreet and all-rounder Deepti produced all-round match-winning performances for Melbourne Renegades and Sydney Thunder respectively.
Deepti's career-best 66 helped India declare on 377/8 before Goswami and Vastrakar grabbed two wickets each to leave Australia 143/4 at stumps, trailing by 234.
Mithali loses top spot in ODI batting rankings as Jhulan climbs two places to second in bowlers' list
The 38-year-old Raj, who scored just 87 runs at an average of 29 in the just-concluded three-match series against Australia, now has 738 points in her kitty.
Verma, a fearless batter at the top, is World No 1 T20 batter and wants to seize the opportunity of playing in the Big Bash League.
Chasing a competitive 265, Verma scored 56 off 91 balls, while Bhatia hit an aggressive 64 off 69 deliveries with the help of nine boundaries to lay the foundation of the visitors' win.
Mandhana has previous experience of playing in WBBL but Deepti will be making her debut in the upcoming season.
India badly needs Shafali Verma and Smriti Mandhana to fire to put pressure on Australia after receiving a nine-wicket hammering in the opening match of the three-game series.
The custom of ringing bell to start a day's proceedings was started by the MCC in 2007.
Though the squads for the full-fledged tour are yet to be announced, around 30 cricketers have been asked to reach Bengaluru by Tuesday evening. The players will start training after a six-day quarantine.
In the bowlers' list, Jhulan Goswami at fifth position is the lone Indian in top-10, while Deepti Sharma holds an identical slot in the all-rounder's category.
India vs England: Harmanpreet Kaur and Co aim to capitalise on winning momentum, clinch T20I series in decider
While Shafali Verma was impressive at the top and spinners came to India's rescue later in the game, the middle-order and the pace department needs to step up.
India vs England: I like playing in pressure situations, says Deepti Sharma after leading visitors to victory in 2nd T20I
England were cruising with opener Tammy Beaumont (59) and skipper Heather Knight (30) in the middle but Deepti dismissed both the batters off successive balls in the 14th over to bring India back into the match.
India vs England: Poonam Yadav, Deepti Sharma mastermind dramatic comeback to help visitors level T20I series
England, who needed 33 runs off 30 balls with six wickets in hand, crumbled under the pressure generated by Indian spinners who were complemented well by their fielders.
Invited to bat, India could manage a below-par 221 in the stipulated 50 overs, build largely around Raj's 92-ball 59 and opener Shafali Verma's 55-ball 44.
India vs England: Nat Sciver, Tammy Beaumont's unbeaten knocks seal hosts' thumping eight-wicket win in first ODI
England Women cantered home with 91 balls to spare, thanks to opener Beaumont (87 not out off 87 balls) and Sciver's (74 off 74) unbroken 119-run third-wicket partnership that came off just 19 overs.
Needing two wickets in the final session, England bowlers were on top and used all the tactics with close-in fielders and constant sledging but Sneh and Bhatia remained unfazed.
While Deepti Sharma produced a dogged resistance with a 168-ball 54 in the top-order, Rana top-scored with an unbeaten 80 off 154 balls and frustrated the England bowlers with two crucial partnerships down the order.
Highlights, England women vs India women, Only Test Day 4 at Bristol, Full cricket score: Bhatia, Rana headline visitors' well-fought draw
Live Score updates England Women vs India Women Test Day 4: Elwiss continues. Rana collects a four off the last after charging down the track and flicking it towards deep mid wicket. Seven runs off the over. But more importantly, the match is drawn.
India were 83 for 1 at stumps on the rain-interrupted third and penultimate day after following on, still trailing by 82 runs overall with nine second innings wickets in hand.