Andrew Chan and Myuran Sukumaran will get another visit from their families as the prime minister tries to keep open the diplomatic channels with Indonesia to stop their executions.
Tony Abbott is still waiting for a phone call from Indonesian president Joko Widodo, who denied the Australians clemency for their 2005 drug smuggling effort.
Mr Abbott last spoke with Mr Joko about a fortnight ago and would like another opportunity while the legal appeals of death row prisoners delay the firing squad.
"He might think that the subject has been well and truly discussed, but my request for a phone call stands and it's up to the Indonesian president to respond," he told reporters in Sydney on Sunday.
The Bali Nine pair will be visited by family on Nusakambangan island on Monday, their third visit since authorities moved them to the ominous execution place.
Deputy Opposition Leader Tanya Plibersek says the relationship with Indonesia has been damaged by the Abbott government's policy of turning-back of asylum seeking boats.
Mr Joko's chief of staff on the weekend wrote in Singapore newspaper The Straits Times that Indonesia did not object to Australian lobbying for Chan and Sukumaran.
"The objection is to the manner and tone of the intervention, the warnings and the thinly veiled threats," Luhut Pandjaitan writes.
"These are unacceptable. Indonesia does not employ these tactics in its own intervention."
The president's confidant writes that he hopes "the angst created by this episode will pass" because Indonesia values good relations with its neighbour.
Jakarta is waiting for some of the 10 drug felons it plans to execute to run out of legal appeals before executing them along with Chan and Sukumaran.
Foreign Minister Julie Bishop says the Australians too have an appeal against the rejection of their clemency pleas and a judicial commission complaint about allegations of bribery at the original trial.
"I cannot imagine that further plans for the execution of these two Australian citizens would be proceeding while there are legal options still being pursued," Ms Bishop told reporters in Perth on Sunday.