The Attorney-General Seamus Woulfe has agreed to a new inquest into the Stardust tragedy.
Some 48 people died in the nightclub fire in the Artane area of Dublin on Valentine's night in 1981.
The families have continuously called for answers into the cause of the blaze.
The Attorney-General wrote to representatives of the relatives on Wednesday.
The British Prime Minister Boris Johnson has told the UK parliament it is 'paralysed'.
He addressed MPs following a British Supreme Court ruling on Tuesday, which found that his earlier suspension of the parliament was unlawful.
In their unanimous decision, the 11 judges found that prorogation was "void and of no effect".
The US President Donald Trump urged Ukraine's leader to work with his lawyer Rudy Giuliani and the US attorney-general to investigate Joe Biden, a White House memorandum shows.
In the call, Mr Trump raised unsubstantiated allegations that Mr Biden, the former US vice president and Democrat candidate in the 2020 election, sought to interfere with a Ukrainian prosecutor's investigation of his son Hunter.
"There's a lot of talk about Biden's son, that Biden stopped the prosecution and a lot of people want to find out about that so whatever you can do with the Attorney General would be great," Mr Trump said to Ukrainian President Volodymyr Zelenskiy.
The Justice Minister Charlie Flanagan says people living along the Cavan-Fermanagh border should not fear reporting information about attacks on Quinn staff to the authorities.
Mr Flanagan visited Quinn Industrial Holdings in Derrylin, Co Fermanagh on Wednesday morning to meet with company management.
It follows the vicious abduction and torture of the firm's director Kevin Lunney just over a week ago.
The Irish outlet of the US doughnut maker Krispy Kreme has sold more than 6.6 million doughnuts in the past year.
The company says this makes it the brand's "most successful store opening internationally."
The Dublin shop, based in Blanchardstown, is marking one year open on Thursday.
Main image: File photo shows fire damage at the Stardust disco in Artane, Dublin in February 1981 | Image: PA/PA Archive/PA Images