The Sisters of Bon Secours, who ran St Mary's Mother and Baby Home in Tuam, says they're willing to participate in a redress scheme for survivors.
In a statement, the Order has apologised for its part in the scandal and says that it did not live up to its Christianity when running the home.
The Sisters also acknowledge that infants and children who died at the Home were buried in a disrespectful and unacceptable way.
The scandal of what happened in Tuam and in various other Mother & Baby Homes around the country was revealed following the work of Tuam historian Catherine Corless.
The Commission of Investigation was set up after her research showed that up to 800 babies and children were buried in an unmarked mass grave at the site of the former home in Tuam.
On foot of the publication yesterday of the Commission's report, Taoiseach Mícheal Martin will make a formal State apology in the Dáil later to survivors of Mother & Baby Homes.