The Taoiseach has told the Dáil that the Government is anxious to help the family of the late Harvey Morrison find answers about his care.
Micheál Martin said the range and types of inquiries available have been shared with the family.
Sinn Féin leader, Mary Lou McDonald, said the Government had failed at every level to get to grips with the scandal.
Following a meeting between Harvey's parents, Tánaiste Simon Harris and Minister for Health Jennifer Carroll MacNeill this evening, Harvey's mother Gillian Sherratt said the Government has agreed in principle to a statutory public inquiry which will look at Harvey's case and how children with spina bifidia and scoliosis have been dealt with.
A joint statement from Harevy's parents, Scoliosis Action Group and Spina Bifida and Hydrocephalus Paediatric Advocacy Group said: "The Minister for Health and the Tánaiste have agreed in principle to bring to Cabinet the recommendation for a Statutory Public Inquiry, that in principle will be a Tribunal of Inquiry into the care of children living with spina bifida and/or scoliosis.
"A facilitator/mediator will be put in place to ensure that the Terms of Reference are acceptable to the Scoliosis Advocacy Network and the Spina Bifida and Hydrocephalus Paediatric Advocacy Group. This will ensure that the child's and parents' voice remain central throughout the process.
"We are hopeful that the result of this inquiry will mean that there will be true and substantial change going forward, so that no children will ever be failed in the same manner that Harvey was."
Gillian Sherratt and Stephen Morrison met the Tánaiste and the Minister previously in late September and it was agreed that an inquiry would be established, but the nature of the inquiry has yet to be decided.
Opposition parties have been calling for a Statutory Public Inquiry.
Harvey, from Clondalkin in Dublin, had spina bifida and scoliosis and was nine years old when he died in July this year.
He waited a number of years for spinal surgery and was first placed on the waiting list in February 2022.
The curvature of his spine was 130 degrees when he had surgery last November.
Recently it emerged he had been taken off the CHI waiting list for urgent scoliosis surgery without his parents' knowledge or consent.
A weekend report in The Sunday Times claimed he was removed from the list as it was believed he was a palliative patient.
The newspaper says the claims were made by a whistleblower within CHI in a Protected Disclosure which is currently under investigation.
This was despite Great Ormond Street Hospital in London saying he was a suitable candidate for spinal strengthening surgery.