Mominul Haque and Shakib Al Hasan built on from where the openers left off in the in the final day of the second Test against Sri Lanka at Chittagong.
Mominul was eying a century as Bangladesh will seek to bat through the day for a draw.
Shakib Al Hasan and Mominul had set a mood in the field that they will go for the chase and try to win back a Test match and draw level in the series.
However, they looked settled at the crease and will need to avoid rash shots.
Earlier, Imrul Kayes fell trapped leg before to a delivery of Perera and Tamim and Shamsur ended up dragging the ball onto their stumps trying cover drives.
If Bangladesh manages to bat through the day, they will end up drawing the Test match.