They were also just four overs short of the 20 needed for the Duckworth-Lewis method to be activated, which nearly certainly would have ruled in Australia's favour.
Security was heightened for Sunday's India vs Pakistan match at Edgbaston in Birmingham with both teams observing a minute of silence before play.
But it was their turn to look ruefully to the skies at The Oval as the weather closed in with Australia 83-1 after 16 overs - with just four more needed to constitute a game - having bowled Bangladesh out for 182. Since umpires have started giving this type of decisions I hope consistency is maintained. We have to beat New Zealand and obviously we have to wait for a few results as well.
In reply, after losing Aaron Finch (19) in the eighth over of the innings, Warner and Steve Smith (22*) had added unbeaten 38 runs before rain interrupted the proceedings and play could not resume.
Australia will be cursing their luck as they were also frustrated by bad weather when their opening group fixture against New Zealand was abandoned, although on that occasion they were in a less commanding position.
While the Aussies would have considered themselves fortunate to have got a point against New Zealand, they will be disappointed that they weren't able to get a result here as they looked in complete control of the match.
Proceedings were finally called off at 9.19pm, with Australia cruising towards their target of 183, David Warner and Steve Smith batting with nonchalant ease. "We have to beat England and I think then we're through", the skipper said.
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The outcome was harsh on Australia who bowled superbly to dismiss the world No 6 team inside 44 overs with Mitchell Starc grabbing four wickets.
"I think it makes the equation pretty simple for us", Smith said.
The Australian bowlers received a severe thrashing at the hands of New Zealand batsmen in their previous game before rain intervened and the match was abandoned.
"It's just being given the time to get some consistency back".
Tamim Iqbal had earlier top scored for Bangladesh with 95 runs, while Shakib Al Hasan was next best some way back on 29.
Smith went onto emphasize on the fact that his team had to play well in order to advance further in the competition and treat every game like a final.
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