The 28-year-old looked vulnerable against the short ball as he compiled a watchful fifty off 69 balls, curbing his attacking instincts against an Australian attack bowling with greater discipline than they had in their abandoned match against New Zealand.
Smith (22 not out) and David Warner (40 not out), were seemingly steering Australia to a comfortable win before the weather turned bad - and the skipper admitted he wanted to keep batting through the drizzle.
"I think they batted quite well against England", Maxwell said.
"The New Zealand game (at Edgbaston) was my first hit-out for three months, and it was disappointing not to get the warm-up games under my belt with a bit of weather around".
"Following last night's incident all team hotels went into lockdown and teams, match officials and staff were all quickly accounted for", the global governing body said.
Australia and Bangladesh face-off in what can be called as a crucial match, as both teams respective first matches in the tournament didn't go according to the plan.
At one stage, it seemed like Australia would get the chance to chase down a reduced score via the Duckworth-Lewis method, but another spell of rain prevented them from making it back out to the middle.
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Rubel Hossain briefly stemmed the tide when the Bangladesh seamer dismissed Finch lbw with an inswinger the opener couldn't handle as he played across his pads. If the game had carried on perhaps they would have had a different opinion.
Australia are due to play Bangladesh - a country where they postponed a Test series tour in 2015 over security fears - in the Champions Trophy One Day International tournament on Monday at The Oval, whose ground is not far from where the attack by three assailants took place late Saturday.
The two-time winners will now take on arch-rivals England in Match 10 of the tournament on June 10.
Left-arm fast bowler Mitchell Starc was the pick of the bowlers as he picked up four wickets for 29 runs.
Tamim Iqbal's 95 was the highlight for Bangladesh, who are winless and face New Zealand in their final group tie.
Heavy rain forced the players off the field, however, and after delaying a decision over whether to wait for the downpours to pass it was decided that the points would have to be shared.
"I think it makes the equation pretty simple for us", Smith said.
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