Jacob Oram blasted a career-best 126 not out to help the Kiwis reach a first innings total of 353. Australia were 197 for four in reply.
Chelsea closed the gap on leaders Arsenal to four points on Saturday with a 1-0 win at Tottenham Hotspur in the English premier league.
The Australia middle order batsman's availability for the rest of the third Test will be known on Wednesday.
Chelsea's Damien Duff says there is an 80 percent chance he could suffer a recurrence of the dislocated shoulder.
Afghanistan caused a major upset in the ICC U19 Cricket World Cup when it defeated three-time champion and last edition runner-up Australia by 36 runs at Abu Dhabi Oval 2 on Monday.
Chelsea stay a point clear of Arsene Wenger's unbeaten team with 36 points.
The prospects of any further play were gloomy with thunderstorms forecast for the afternoon.
The discarded Australia Test batsman scored 300 not out for Queensland against Victoria.
He hit an unbeaten 140 as Australia posted 221 for 2 in their second innings at close on day 2 of the second Test against Sri Lanka.
Australia reached 193 for two, 32 runs ahead of Sri Lanka, after bowling them out for 381 on the third day of the first Test.
Ricky Ponting and Damien Martyn struck half-centuries to lead Australia to a five-wicket victory against Sri Lanka.
The Chelsea winger sustained the injury when he landed heavily after being challenged as he shot at goal.
The opener hit 98 as Australia crushed England by seven wickets with five overs to spare in the opening match of a triangular limited-overs series.
List of fastest 50s in one-day internationals after Australia's Damien Martyn reached his 50 in 22 balls against Bangladesh.
Australia beat Bangladesh by nine wickets, with 29.4 overs to spare, in the second ODI.
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