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Comibaena connata
It appears to me Comibaena connata is a better match than Uliocnemis partita because Uliocnemis partita has more angular wings than rounded.
Uliocnemis partita:
http://lepidoptera.butterflyhouse.com.au...
You are right, Christiane, that Comibaena bajularia is indeed a European moth that does not range to Australia, though it has some similar species in Australia.
Comibaena connata:
http://www.leapfrogoz.com.au/LeapFrogOz/...
Comibaena mariae:
http://www.leapfrogoz.com.au/LeapFrogOz/...
Looking at these links, I think this species is C. connata because of the light brown markings opposed to the dark brown markings.