New Zealand, who are 1-0 up in the three-Test series, were 334 for one at stumps with Conway on 178 having hit 25 fours.
Kavem Hodge's unbeaten hundred helped the West Indies avoid the follow-on and reach 381-6 on Day 3 of the third and final Test against New Zealand in Mount Maunganui on Saturday.
Middle-order batter Kavem Hodge returns to the Test squad but there was no room for Khary Pierre with spin bowling expected to play a limited role in the series.
Justin Greaves struck an epic unbeaten 202 against a depleted New Zealand attack to help the West Indies snatch a memorable draw in the opening Test at Christchurch's Hagley Oval on Saturday.
The CWI said veteran all-rounder Jason Holder turned down the offer to join the squad in India to undergo a pre-determined "medical procedure".
India's second day against the West Indies began in heartbreak as Yashasvi Jaiswal was run out for 175
India remained on course for a 2-0 series sweep after enforcing the follow-on but West Indies produced a much better batting display in their second innings to reach 173-2 on day three of the second and final Test in New Delhi on Sunday.
Shubman Gill struck his 10th Test century, while Ravindra Jadeja picked up three wickets as India dominated Day 2 of the second Test against West Indies, in Delhi, on Saturday.
The home side, chasing a 2-0 series sweep, reduced West Indies to 140-4 with left-armer Jadeja (3-37) leading the way.
IMAGES from Day 3 of the 2nd Test between India and West Indies in New Delhi on Sunday.
Tagenarine Chanderpaul and Alick Athanaze were recalled in the West Indies' 15-member squad for the two-Test series in India next month.
Assessing Sai Sudharsan's temperament and Nitish Kumar Reddy's utility in home conditions would be topmost on India's checklist when the high-on-confidence hosts take on a floundering West Indies
Spin-bowling all-rounder Chase, who played the last of his 49 Tests in March 2023, will begin his captaincy with a three-match home series against Australia on June 25.
Limited-overs captain Hope has played 38 Tests, the last of which came in Sri Lanka in late 2021.
The short turnaround time from the high of winning a controversy-marred Asia Cup notwithstanding, Shubman Gill's India will be outright favourites against a struggling and under-strength West Indies when the teams face-off on a green-top in the first Test in Ahmedabad on Thursday.
IMAGES from Day 4 of the 2nd Test between India and West Indies in New Delhi on Monday.
IMAGES from Day 1 of the 2nd Test between India and West Indies in New Delhi on Friday.
Speaking ahead of the first Test from June 25 onwards at Barbados, Joseph said as quoted by Sydney Morning Herald, "To take 13 wickets across the series was a good feeling. A lot has changed. There were a lot of opportunities that came my way."
Saud Shakeel and Mohammad Rizwan hit unbeaten half-centuries to help Pakistan overcome Jayden Seales' three-wicket burst
West Indies were bowled out for 163 before they fought back to dismiss Pakistan for 154 shortly before the close of play.
Pakistan needed 178 runs to win the second Test and sweep the series
Spinners took 16 wickets on Sunday as Jomel Warrican's seven-wicket haul restricted Pakistan's second innings to 157, setting a target of 251 for West Indies, who failed to get a partnership going on the turn-heavy track.
West Indies have turned their attention to theTest series as the twice champions missed out on this year's Cricket World Cup
Skipper Shimron Hetmyer and Tevin Imlach hit half-centuries as the West Indies upset Pakistan by five wickets to cruise into the semi-finals of the ICC Under-19World Cup in Bangladesh on Monday.
Keacy Carty hit an unbeaten fifty to steer the West Indies to a thrilling five-wicket victory in the ICC Under-19 World Cup final, in Mirpur, on Sunday. Chasing India's paltry total of 145, the West Indies won with three balls to spare and claimed their maiden Under-19 World title.
India's amazing track record and an unbeaten run in the tournament makes coach Rahul Dravid's boys overwhelming favourites to defeat the West Indies in the final of the ICC U19 Cricket World Cup in Mirpur on Sunday. India is on a 15-match winning streak since losing to England in the quarter-final of the previous edition in the United Arab Emirates two years ago. It has won 20 of its 21 one-day matches since January 2014. In the current tournament, India breezed through Group D with an all-win record against New Zealand, Nepal and Ireland, before crushing Namibia by 197 runs in the quarter-final and Sri Lanka by 97 runs in the semi-final. However, past achievements alone don't guarantee success in sport and the West Indies has done enough in the tournament so far to suggest it can go on to win its maiden title in the competition.
West Indies rode on its fast-bowling arsenal to win the ICC Under-19 Cricket World Cup for the first time with a tense five-wicket victory over three-time winner India in the final in Mirpur on Sunday.