No ball has been bowled on the last two days, making a win for either side unlikely with two days left.
Bangladesh is 246-8 in its first innings after electing to bat first, including 65 by Mushfiqur Rahim.
Nasir Hossain is undefeated on 13.
The first test ended in a draw after the last two days were washed out.
US Seeks Closer Ties with Africa