The stance was endorsed by a vote, with a majority of ICC Board members backing the option of bringing in a replacement team.
The BCB has been given one final day to clarify its position on playing in India.
If Bangladesh do not change their stance, Scotland are expected to take their place in Group C, despite having missed out on qualification after finishing behind the Netherlands, Italy and Jersey at the European Qualifier.
The matter first arose over two weeks ago when Bangladesh fast bowler Mustafizur Rahman was released by IPL side Kolkata Knight Riders on January 3, following instructions from the Board of Control for Cricket in India.
A day later, on January 4, the Bangladesh Cricket Board, acting on advice from the government, notified the ICC that it would not send the national team to India for the T20 World Cup, citing security concerns.