NAMA has drawn up a list of over 330 housing units to accommodate residents evacuated from Priory Hall.
Dublin City Council had already identified 22 units in the city that could be used for the families, currently in hotel accommodation.
NAMA said the residents could be given the choice of 332 empty apartments around Dublin, a list of which has been forwarded to the city council.
The council now has the ability to contact owners and match the properties to the needs of the individual families involved.
The Department of Education has also said it will pay for any school transport required for those in the hotel.
The 187-unit complex at Priory Hall was one development that NAMA did not take over. The agency would not take over a loan where it is decided the value could never be realised.
Meanwhile in Dáil, Taoiseach Enda Kenny described the developer involved, Tom McFeely, as an acquaintance of Sinn Féin president Gerry Adams.
Mr Adams called for the remark to be withdrawn but the Ceann Comhairle ruled it was political charge.
Developer Tom McFeely is due back before the High Court on Friday to submit a statement of means pending a programme of remedial works at the estate.
Speaking on RTÉ's Prime Time last night, resident Niall O'Reilly said the concern was that even when remedial work is completed, the value of their properties will have dropped.
Following calls for a reform of building regulations, the Environment Minister pointed out that a review group is already working on ways to strengthen the certification process.
He said the proposed regulations will soon be ready for public consultation.
Around 180 people spent last night at a hotel after they were ordered by the High Court to vacate their homes because of fire safety concerns.
