Andrew Chan and Myuran Sukumaran, aged 31 and 33 respectively, were sentenced to death in 2006 for leading the so-called "Bali Nine" trafficking ring that attempted to smuggle eight kilograms of heroin to Australia.
Successive appeals have failed to have their sentences commuted, and both are on a list of inmates scheduled to die by firing squad.
On Friday, their Indonesian lawyer filed what's known as a PK to apply for a second judicial review.
"It has been accepted, it will go to the courts, then it depends on the district court heads," Todung Mulya Lubis told media in Bali. "There should not be an execution because the legal process should be respected as well."
The court will be asked to consider the men's rehabilitation during 10 years' of detention in Bali's Kerobokan prison. Chan now leads church prayers and is said to be a source of spiritual strength for other prisoners, while Sukumaran mentors other inmates in daily art classes.
However, a spokesman for Indonesian Attorney-General H.M. Prasetyo, Tony Spontana, told CNN that at a meeting held on January 9 it was decided that only one judicial review would be allowed.
He said the meeting included representatives from the attorney general's office, the Ministry of Law and Human Rights, the investigative department of the national police, the national anti-drug agency, and officials from the Supreme Court and Constitutional Court and "other related institutions."
Lawyers for the men have pointed to a Constitutional Court ruling in 2013 which cleared the way for a second judicial review. However, Spontana said that ruling wasn't effective because the relevant regulations hadn't been implemented. Until they were, he said "we have to stick to the old rule that says judicial review is only possible for one time."'
Foreign nationals on list
The Australians are not the only foreigners awaiting execution by an Indonesia firing squad. Of 11 presidential decrees, eight relate to drug offenses. Of those eight, seven are foreign nationals, including the two Australians, Spontana said. The others are from Ghana, France, Nigeria, the Philippines, and Brazil. No date had been decided for their executions, he said.
Brazilian Rodrigo Gularte could be the second of his countrymen killed in Indonesia in a matter of weeks.
On January 18, Indonesia executed Marco Archer Cardoso Moreira
who was arrested at Jakarta airport in 2003 with 13 kilograms of cocaine.
Brazil's President Dilma Rousseff reacted with outrage at the killing and recalled the country's ambassador from Indonesia for consultations. The Netherlands did the same after the shooting of its citizen, Ang Kiem Soei, who was convicted of running a factory that made ecstasy pills.
The Philippines is reported to be seeking a judicial review in the case of its citizen
, a woman who was arrested at Yogyakarta airport in April 2010 carrying 2.6 kilograms of heroin on a flight from Malaysia. The French citizen has been named as Serge Atlaoui, who was sentenced to death in 2007, according to French press.
After the most recent executions -- which were the first since 2013 -- Indonesia's president Joko Widodo told CNN's Christiane Amanpour
that too many Indonesian lives were being lost to drugs.
"Every day we have 50 people die because of narcotics, of drugs. In one year, it's 18,000 people who die because of narcotics. We are not going to compromise for drug dealers. No compromise. No compromise," he said.
The United Nations High Commissioner for Human Rights has expressed concern about the use of the death penalty for drug offenses.
"According to international human rights jurisprudence, capital punishment could only be applied to the crime of murder or intentional killing," OHCHR spokesperson Ravina Shamdasani told reporters
She said the U.N. was particularly concerned about "respect for due process" after Widodo stated he would categorically reject all appeals for clemency.