Bangladesh are fighting to avoid an innings defeat, reduced to 6-132 in their second innings at stumps on Sunday and still trailing the hosts by 42 runs at Daren Sammy Stadium in Saint Lucia.
Roach took the first three wickets to finish the day with figures of 3-32 off 10 overs and move to 252 wickets for West Indies. Bangladesh opener Tamim Iqbal (4) was caught behind to give Roach his 250th scalp leaving the quick the sixth-highest Test wicket-taker for West Indies.
Roach went on to dismiss opener Mahmudul Hasan Joy (13) and Anamul Haque (4) to leave the visitors struggling at 3-32.
Najmul Hossain Shanto top-scored with a 91-ball 42.
West Indies earlier resumed their first innings at 5-340 thanks to a chanceless and unbeaten 126 from allrounder Kyle Mayers, and extended their overnight lead of 106 to 174 after being dismissed for 408.
Mayers was dismissed by Khaled Ahmed (5-106) after moving on to 146, caught by Shoriful Islam. Mayers' innings included 18 fours and two sixes.
Play was called off for the day at 5.30pm local time after heavy rain.
Bangladesh scored a sub-par 234 in the first innings.
West Indies won the first Test in Antigua in just over three days by seven wickets.
Three T20 games and a three-match ODI series are also scheduled.
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