Dhaka: Bangladesh's spinners took late wickets to give them a glimmer of hope after Rahkeem Cornwall's maiden five-wicket haul gave the West Indies a healthy 113-run first-innings lead in the second Test in Dhaka on Saturday.
The visitors finished the third day with 41-3 in the second innings, stretching their lead to 154 runs.
Nkrumah Bonner was on eight along with nightwatchman Jomel Warrican, two not out, as the West Indies looked to set a target for the hosts on the fourth day.
The West Indies owed their advantage to Cornwall, who finished with 5-74 helping as Bangladesh were bowled out for 296 an hour into the final session on the day.
But Bangladesh's spinners struck back almost immediately as Nayeem Hasan dismissed Kraigg Brathwaite for six and Mehidy Hasan removed Shayne Moseley for seven.
Taijul Islam delivered further blow blowing out John Campbell for 18.
Liton Das, Mehidy and Mushfiqur Rahim earlier hit fifties to rescue the Bangladesh innings in reply to the West Indies' 409 runs in the first innings.
Cornwall dismissed Liton for 71 to break his 126-run seventh wicket stand with Mehidy after the pair helped Bangladesh recover from 155-5.
Resuming on 105-4, Bangladesh — who must win the game to avoid a series defeat — earlier pinned great hopes on Mushfiqur, their most experienced batsman.
But he threw away his wicket by attempting a reverse sweep off Rahkeem Cornwall after completing his fifty off 89 balls.
Senior Bangladeshi cricketers Abdur Razzak and Shahriar Nafees formally retired during the lunch break, ending their career to join the country's cricket administration.
Left-arm spinner Razzak, who played 13 Tests and 153 one-day internationals and 34 Twenty20 internationals, was recently named as a member of the selection committee.
Shahriar, who played 24 Tests, 75 ODIs and a T20 international, will join the Bangladesh Cricket Board as assistant manager for cricket operations.
The West Indies won the first Test in the two-match series by three wickets.
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Although the Board of Governers have a long agenda to deal with one of the main items is giving an extension to Wasim Khan, who has also expressed his interest in continuing as CEO.
Last week, the NZC had shifted Friday's double headers from the Eden Park to Wellington, after COVID-19 alert Level 3 restrictions were imposed in Auckland, which doesn't allow any sports event to take place.
Patel said England expect the fourth and final Test pitch, starting on Thursday, to also be a spinning track but said the visitors are eager to punch back from the two straight losses.