Left-arm spinner Taijul Islam claimed 5-58 for Bangladesh on Tuesday to help bowl out Ireland for 214 but two early strikes left the one-off Dhaka Test in the balance.
Bangladesh took to the crease not long after drinks and were 34-2 at stumps, with Andy McBrine sending back Tamim Iqbal for 21 on the last ball of the day.
Mark Adair bowled Najmul Hossain for a duck in the first over of the innings. Mominul Haque was unbeaten on 12 at the end of day's play with Bangladesh trailing Ireland by 180 runs.
Harry Tector earlier top-scored with 50 for the tourists, who otherwise struggled to build partnerships after electing to bat first.
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