The family of Róisín Ruddle have called for a independent inquiry into the circumstances which saw their daughter die 24 hours after her heart operation was cancelled.
The family told the Minister for Health Mr Martin this evening they believe further questions need to be addressed following consideration of a Eastern Regional Health Authority report into the incident.
The Minister for Health said this evening he has offered to meet the family to discuss their concerns. He also plans to hold discussions with the ERHA and Our Lady's Hospital for Sick Children, Crumlin.
Earlier today Mr Martin described the death of the two-year as a cause of "great regret and upset and is something that we would want to avoid into the future".
Speaking this afternoon in Dublin after reading the report, Mr Martin said the details of the report would not be made public until he had consulted with the parties involved, including the girl's parents.
Róisín died on July 1st at her Co Limerick home some 24 hours after the cancellation of an operation in Our Lady's Hospital for Sick Children in Crumlin, Dublin, for a complex congenital heart problem.
The ERHA contacted senior medical personnel at the hospital when drawing up the report - including consultant cardiologist Dr Paul Oslizok and consultant cardiologist Dr Freddie Wood.
It is understood the report into Róisín's death details how Dr Wood and a consultant anaesthetist were forced to make a choice on which child should be operated on the Monday before Róisín's death, due to a shortage of intensive care nurses.
The hospital has admitted that the operation was cancelled due to a shortage of intensive care nurses. It is understood there are 45 unfilled intensive care nursing positions in the hospital.