Cricket Australia (CA) is expected to announce the two-Test series has been abandoned in the wake of the threats.
CA's security staff briefed the peak body's board and Department of Foreign Affairs and Trade (DFAT) on Wednesday, having returned from meetings in Bangladesh.
In a final attempt to persuade CA to have a change of heart, Bangladesh Cricket Board (BCB) president Nazmul Hassan revealed an unprecedented level of security for a touring nation would be supplied.
"We have left no stone unturned in providing assurance regarding security for the Australian team," Hassan said in a statement.
"The Bangladesh Government has committed additional security on top of the substantial and elaborate arrangements in the BCB's standard security plan for international cricket.
"For the team [Australia] the level has been confirmed as VVIP which is equivalent to security accorded to head of states and is unprecedented for any international side.
"We are still hopeful that a fresh date for arrival of it's team will be declared by CA and we will see some exciting cricket on the ground soon.
"It is worth mentioning that during the ICC World Twenty20 Bangladesh 2014, when the risk which was assessed by Australia was of a higher level to what is at present.
"Safety and security was successfully provided to 24 men's and women's teams including the Australian men's and women's squads as well as to officials and guests who arrived for the event."
Australian Cricketers' Association chief executive Alistair Nicholson says the safety of the players is paramount.
"The players were looking forward to touring," he said.
"There's obviously a new team and that's a tough environment to play in Chittagong and or Dhaka, so it's actually something that's important to the players but in this case we'll have to wait on the best advice and how it transpires."
Football Federation Australia is also monitoring the outcome of the cricket crisis, with the Socceroos scheduled to play Bangladesh in a World Cup qualifier in Dhaka on November 17.
Australia's Test squad have returned to state ranks for training and are now expected to feature in the domestic one-day tournament starting Monday in Sydney.
