Taoiseach Simon Harris will meet with the families of the Stardust victims tomorrow, with a view to issuing a State apology at the earliest opportunity.
It is understood that the Government is seeking to set aside Dáil time on Tuesday for statements on the Stardust verdicts and inquests, with the Taoiseach expected to contribute.
However, Mr Harris is yet to confirm whether he will be in a position to deliver an apology on Tuesday, and may wait until tomorrow's meeting at Government Buildings with victims' families to do so.
Stardust campaigner Antoinette Keegan said the families of the victims will meet with the Taoiseach at Government Buildings in the morning.
The families will also be meeting with the Sinn Féin leader Mary Lou McDonald ahead of the meeting with the Taoiseach.
Survivors and relatives cheered as the majority verdicts were delivered at Dublin District Coroner's Court yesterday.
Minister for Justice Helen McEntee asked the Attorney General to consider the coroner's report and she will brief Cabinet accordingly.
"I'm very keen to meet with the families, I’m very conscious that these families have felt unheard for decades and I want to make sure that they know that I’m listening and that I want to hear them and of course I want to be in a position as Taoiseach to apologise on behalf of this country," Mr Harris said this afternoon in Carlow.
"I am eager to be in a position to apologise to these families but I think it’s right and proper that I would meet them first."
Asked if there will be further investigations, including of a criminal nature, into the Stardust tragedy, the Taoiseach said: "There’s a number of processes and different parts of the State that I think will need to consider the outcome of the coroner’s inquest yesterday and I’m aware that of course the gardaí will be reviewing the coroner’s report.
"That's right and proper that they do and that obviously happens independent of the Government and the political system and I'm also conscious that my colleague, the Minister for Justice, will ask the Attorney-General, to consider the report from the coroner as well, the outcome of the inquest.
"But as Taoiseach I feel very strongly that it is important that the State recognises the pain, the suffering, the trauma and the appallingly long time these families have had to work, campaign and in many cases fight for truth and justice," he added.
Verdict 'meant so much', says relative of Stardust victim
The verdicts delivered in the Stardust inquests "meant so much to us as a family", Susan Behan, whose 21-year-old brother John Colgan died in the fire, has said.
Speaking on RTÉ's Morning Ireland, Ms Behan said the verdict had been a long time coming and they were "afraid to even breath at times" yesterday in case they "might not get justice".
"43 years of wondering and then we finally, finally hear those words. It was just unbelievable," she said.

Read more: Who were the 48 victims of the Stardust nightclub fire?
"It's very hard to put it into words to be honest, I actually can't believe it. I'm so relieved that finally we have the justice we deserve."
Describing the scene yesterday as the verdicts were being delivered she said there were mixed emotions but that families of victims were happy that "justice had prevailed".
"It's not just us saying an injustice has been done, it's now out there, it has been done, it was unlawful killing," she said.
"We were just all looking at each other, hugging each other, crying, jumping. It was so emotional for us all."
Speaking about her brother John, Ms Behan said he was "super special" and his death "ripped" her family apart.
"His death took so much from us," she said.
"He had a warmness about him, everybody that met him loved him. Even to this day people come up to us and say 'I knew Johnny, he was a lovely lad'," she added.
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"It's such a wonderful thing when people come up and say those things to you. He was special to us, but for other people to say it to you as well.
"He was looking forward to his future, he was excited. I was expecting my first baby. He kept patting my tummy and saying 'does it know I'm going to be an uncle?'
"All of that was taken - the excitement, the joy. When he left, it just left that hole."
Ms Behan called for a State apology, saying "We feel like we were ignored".
"It shouldn't be a big deal for them to turn around and say 'we're sorry, we got it wrong' and apologise to us. It's the very least they could do," she said.
"Do the right thing and give the public apology. We deserve it. Our loved ones deserve it."
That was a view echoed by Labour TD Duncan Smith.
Speaking on RTÉ's Today with Claire Byrne Deputy Smith, who is from the northside of Dublin, said the tragedy "hung like a cloud" over the entire country but particularly over north Dublin.
The Stardust verdicts were long overdue and "should have happened 40 years ago",
He said there was a sense of double bereavement in the community.
"Bereaved for the loss of their loved ones and the impact on the community, but also there's a sense that where this happened - a working class community - that justice was delayed for that reason," he said.
"That if it had happened somewhere else they wouldn't have had to go through this 40-year plus struggle."
Additional reporting: Conor Kane