Fine Gael spokesman on justice Jim O'Keeffe called for the setting up of an Oireachtas security committee to which the minister for justice, his officials and the Garda commissioner would regularly report.
"This committee could also call on international expertise to ensure that international best practice is identified and applied.
"The committee should also have the power to summon individual members of the Garda for questioning. If such a committee had been in place in the past, we might not have had the need to call on Mr Justice Morris in the first place," Mr O'Keeffe said.
He also called for the introduction of a specific whistleblower protection for gardaí who wanted to make a complaint about the behaviour of colleagues to the new ombudsman.
"Such a provision would provide one weapon in breaking down the wall of silence which inhibits inquiries into Garda misconduct," he added.
The Garda Commissioner's decision to transfer five gardaí on full salary to Dublin, which was criticised in the report, had done nothing to bolster confidence that the lessons from Mr Justice Morris had been learnt.
Brendan Howlin (Labour, Wexford) called for the setting up of an independent Garda authority to take the overview and management of the force away from the Department of Justice. "We need a Nuala O'Loan-model of a Garda ombudsman with the powers, clarity of purpose, independence of action and resources that that model means," he said.
Martin Ferris (SF, Kerry North) asked what sanction would face those who had perpetrated the injustice against the McBrearty family.
"We have seen recently senior Garda officers being transferred from the Donegal area. It reminds me of priests who abuse young children and the compliant bishop transferring these people for what they have done," he said.
Ciarán Cuffe (Green Party, DúLaoghaire) said the Garda Commissioner should resign, the Garda Síochána Bill should be withdrawn and Mr Justice Morris must be commended on this Trojan work.
"The reputation of the force has been tarnished, and it happened on the Garda Commissioner's watch. Five years ago he was deputy commissioner but also acting Garda commissioner and bears significant responsibility for what occurred," Mr Cuffe said.