Dublin City Councillors have unanimously passed a resolution calling on Taoiseach Enda Kenny and Minister for the Environment Phil Hogan to meet residents of Priory Hall.
Fine Gael councillors backed the resolution, which also called for a Dáil committee to make recommendations on how to deal with the problem.
Over 250 residents, including apartment owners and private tenants, are in temporary accommodation after they were forced to leave because of fire safety risks.
The Environment Minister has said he cannot meet residents because there is a case before the courts, but Labour councillor Dermot Lacey said he could not see a sub judice issue about a meeting.
The Supreme Court is due to fix a date on 19 January for a hearing on whether Dublin City Council is liable for the residents' accommodation costs and for developer Tom McFeely's appeal against a jail sentence for failing to carry out remedial works.
Meanwhile, two different councillors have contradicted council officials' denials they offered apartment owners €50,000 each for their properties.
This evening's monthly council meeting heard that this would have totalled €10m and still left residents with hundreds of thousands of euro in mortgage liabilities.
City Manager John Tierney said the question of the council buying out the apartments was raised by the residents and the figure of €50,000 referred to their current valuation.
But councillors Brian McDowall and Mícheál Mac Donnacha both claimed the buyout figure was among a range of options raised during confidential discussions.