Bangladesh thrashed Australia by 60 runs in Dhaka on Monday to secure a comprehensive 4-1 series win, with the tourists' batsmen managing just 62 in 13.4 overs, their worst ever total in the format.
Bravo, 29, has not played a Test for West Indies since 2016, when his contract was suspended for a social media post criticising board president Dave Cameron.
India will look to plug the chinks in its armoury and provide finishing touches to its preparation for the four-Test series when it takes on the West Indies Cricket Board Presidents' XI in the final warm-up match, starting in Basseterre, St Kitts, on Thursday.
Spinner Amit Mishra shone with four wickets but the Indian fast bowlers were far from impressive as their two-day warm-up match against West Indies Cricket Board President's XI ended in a draw at St Kitts. Shai Hope's unbeaten century was the highlight of West Indies Cricket Board President's XI innings on the second and final day of the opening practice game. WICB Board President's XI were 281 for seven when play was called off.
West Indies were bowled out for 271 in their first innings after Australia pacer James Pattison ended Darren Bravo's stubborn resistance at tea on Day 3 of the Boxing Day Test at the Melbourne Cricket Ground on Monday.
India finished the second day on 308 for four in 81 overs. They trail West Indies by just three runs, after the visitors were bowled out for 311 earlier in the day.
Adam Voges and Shaun Marsh combined for 449 runs and the sixth highest partnership in Test cricket history to put Australia firmly in control after the second day of the first Test against West Indies on Friday.
Sarfraz Ahmed will continue as Pakistan captain at the World Cup in May despite serving a suspension for breaching the anti-racism code, Pakistan Cricket Board (PCB) Chairman Ehsan Mani said on Tuesday.
The last time West Indies won a Test series against India was at home in 2002. The team has lost six straight series against India since then.
The West Indies bowling could have been taken to the cleaners, but the skipper hit only 10 fours in his knock -- significantly less than Shaw's 19 boundaries and Pujara's 14 hits.
India have endured series losses in South Africa and England over the last nine months but have still managed to remain the number one side in the longest format.
The weather-ravaged, dead rubber third Test between Australia and the West Indies petered out in a draw at the Sydney Cricket Ground (SCG) on Thursday.
After resuming on 70 for 1, India A added 229 runs at the expense of seven wickets as the visitors were placed at 299 for 8 at stumps on Day 2 at the Sir Vivian Richards Stadium. India A had bowled out the home side for 228 on the first day.