Labor says the government must come clean on allegations Australian officials paid-off people smugglers, in order to restore fractured relations with Indonesia.
The scandal over the boat payments took another twist on Saturday, with revelations Indonesian police accepted bribes from the same people smugglers.
The Weekend Australian reported police were paid to allow the departure of a boat to New Zealand, the crew of which were later given US$30,000 by navy officials to return to Indonesia.
The report says the Australians were certain the boat was unseaworthy, and they were concerned people could end up in the water.
Opposition foreign affairs spokeswoman Tanya Plibersek said Prime Minister Tony Abbott owed a full explanation of Australia's involvement in the scandal.