9News understands that at least two of the children had urgent welfare reports in the year before they died.
The revelations came after heavily redacted government documents showed the 58 children who died in the past four years had been removed from their homes or reported to authorities as being at risk.
South Australian Premier Peter Malinauskas said there was no detail in the documents about what actions were taken by the Department of Child Protection after the welfare notifications.
“I have immediately asked my department for even more information about the deaths in the Sydcerc report,” Malinauskas said.
“What these statistics don’t go into is any sort of detail, which allows someone to say these are deaths that are occurring because of the interaction with the child protection system.
“I have made it clear to people working within child protection that I am keen to see some improvement and I think there is the opportunity for that.”
The deaths largely occurred when the current opposition was in government.
Shadow child protection minister Josh Teague said they needed to have the information in real-time so they could address improvements towards better outcomes.
Rapid welfare checks are being done on 526 at-risk children, with 92 per cent now complete.