Ireland grabbed two late wickets to leave the hosts trailing by 180 in Dhaka
The home side had 10 overs to negotiate before stumps but lost both openers as Mark Adair struck in his first over and Andy McBrine with the final ball of the day. They will resume on day two at 34 for two, 180 behind.
Captain Andy Balbirnie would have been eager to settle things down but, after holding the line for an hour and 20 minutes, he was given lbw for 16 attempting to sweep a full ball from Taijul. After reaching the break on 65 for three, the pair continued to pick up boundary options, with both men picking back-to-back fours off Ebadot Hossain as they grew into their innings.Tector became the first Irishman to make a half-century in his first Test knock but failed to score off his next 12 deliveries and was bowled by Mehidy off the inside edge as he looked to force the issue.