Warrants were reportedly out for the arrest of Gregory Anderson when he bashed and stabbed his 11-year-old son to death at a Melbourne cricket practice.
Anderson, who had a history of violence before brutally killing Luke Batty on Wednesday night, died after being shot by police.
It is believed four separate arrest warrants were issued for the 54-year-old's arrest through January, but police did not apprehend him, News Corp reports.
The warrants were issued after he repeatedly failed to show at court on charges of assaulting and threatening to kill Luke's mother, the newspaper says.
Victoria Police said the investigation into Luke's death and the police shooting of his father will consider events on the night and the circumstances before.
"Whilst Victoria Police understands there is an enormous amount of public interest in these events, they remain under investigation," a police statement said.
"It will be up to the Coroner's Court to consider all the issues leading up to, and including, the deaths."
Police would not comment further.
Anderson, who was estranged from his son, bashed and stabbed him to death at the Tyabb Cricket Club in Melbourne's south east.
Anderson then threatened police and paramedics with a knife until one of the officers shot him and he died a few hours later in hospital.
The cricket club was the only place Anderson, of Chelsea Heights, was allowed to visit his son because he was subject to an intervention order, police say.