Murderer Michael Cardamone has agreed to pay whatever the Supreme Court deems an appropriate amount of compensation for the pain and suffering he caused to the family of his victim, Karen Chetcuti.
The violent death of Whorouly woman Ms Chetcuti in 2016 caused significant mental health problems for her former husband Tony Chetcuti and their children Jack, 20, and Kate, 18.
Appearing in the Supreme Court on Thursday, barrister Robert O'Neill said Cardamone, 53, did not oppose and did not want to address the court about the request for compensation.
"His position is the applicants should receive appropriate compensation from the resources that are available," he said.
Cardamone was allowed to leave the hearing, where he appeared via video link from prison, before details of the application were made to Justice Lex Lasry.
He thanked the judge, before leaving the hearing.
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Cardamone is serving a life sentence without parole for the murder of Ms Chetcuti on January 13, 2016, after he took her from her home and likely held her captive in his shed.
He doused her with petrol and burned her alive near Lake Buffalo, after he had injected her with an animal tranquilizer and fractured her skull.
"I have my views about the way in which Cardamone behaved himself and the way in which he committed the offence that he did," Justice Lasry said.
"It's hard to imagine a worse set of circumstances (of murder), which might in itself result in a very large amount of compensation."
Barrister for the Chetcuti family Dimitrios Dounias argued the amount of compensation should not be limited to Cardamone's financial resources, even if the full amount could never be paid.
He provided the court with reports from psychiatrists that detailed the pain and suffering caused to Ms Chetcuti's family, saying the children's need for counselling will continue.
The application of Tony Chetcuti states he had post-traumatic stress disorder, major depressive disorder and persistent complex bereavement disorder.
Jack Chetcuti also suffered from adjustment disorder with anxiety and depression, and major depressive disorder; and Kate Chetcuti suffered from complex bereavement disorder.
"With respect to the children, the horror of it all - although it may lessen - it's never resolved," Mr Dounias said.
Justice Lasry said the life-long effect was common in homicide cases, "but in this one, given the gravity of the offending, all the more so".
The case will return to court at a later date for Justice Lasry to hand down his verdict.