Tánaiste Eamon Gilmore has told the Dáil that the Government will continue to call for a public inquiry into the murder of Pat Finucane.
A review into the murder of Mr Finucane in 1989 has found that actions by employees of the British state "actively facilitated" the killing.
Mr Gilmore said that Mr Finucane's widow Geraldine has worked tirelessly on uncovering the truth in her husband's murder.
The Tánaiste said British Prime Minister David Cameron had shown determination to get to the truth and that his apology to Mrs Finucane followed on from his apology in the wake of the Lord Saville Inquiry.
He gave credit to the acknowledgement by Mr Cameron of the systematic failures in the murder inquiry.
He said that an inquiry need not be open-ended but could be done in a timely fashion.
The Finucane family have said "the dirt has been swept under the carpet" and described today's report as a sham and a whitewash.
The family said the worst thing about the Desmond de Silva report is that it is a "suppression of the truth".
The family again called for a public inquiry, and said the case was the "most controversial", demonstrated the most state collusion and was a case the British "state had most to hide".
PSNI Chief Constable Matt Baggott is to discuss the de Silva report with the Police Ombudsman and the Public Prosecution Service to see if more people should be held to account for the murder of the solicitor.
Mr Baggott announced in Belfast that he is planning talks with Ombudsman Michael Maguire and Barra McGrory, director of the PPS.
He said: "The murder should never have happened. There was a catalogue of failure which needs to be assessed to see if people should be held accountable."
The Chief Constable said he needed time to examine the report, consider the findings and then assess the investigative opportunities. This would take time, he said.
De Silva report shows 'shocking' state collusion - Kenny
In a statement, Taoiseach Enda Kenny said the de Silva report and David Cameron's statement acknowledge the "shocking extent of state collusion in the murder of Pat Finucane and the efforts to subvert and frustrate subsequent investigations into that murder".
He welcomed Mr Cameron's "clear condemnation of the nature and scale of collusion, and his firm public apology to Geraldine Finucane and her family for all they have endured".
He continued: "I note that the Prime Minister has indicated that various authorities in Britain and in Northern Ireland are expected to consider the report.
"The murder of Pat Finucane was one of a number of cases which gave rise to allegations of collusion by the security forces.
"The British and Irish governments agreed in 2001 to appoint a judge of international standing to investigate these cases and, in the event that a Public Inquiry was recommended in any case, to implement that recommendation.
"Judge Peter Cory recommended a public inquiry in five cases. On foot of his recommendation, the Smithwick Tribunal was established by resolutions of Dáil and Seanad Eireann in 2005. The Smithwick Tribunal is currently concluding its work.
"It is a matter of public record that the Irish Government disagrees strongly with the decision by the British government last year not to conduct a public inquiry into the murder of Pat Finucane.
Mr Kenny said the Government's position "has consistently been in accordance with the all-party motion adopted in the Dáil in 2006 which called for a full, independent, public enquiry, as recommended by Judge Cory.
"That position is unchanged", he said.
He said the Government has also supported the Finucane family in their efforts "to ascertain the full extent of collusion behind Pat Finucane's murder and the subsequent investigations".
Mr Kenny said he spoke with Mr Cameron this morning before the House of Commons statement, and repeated these points to him once again.
He said he had also spoken to Mrs Finucane today, adding that he knows the family are not satisfied with today's outcome.
Mr Kenny said he intends to consult more with the family to hear their views and concerns in more detail.