Taoiseach Micheál Martin has said that it took gardaí "longer than maybe ordinarily" to solve the murder of Tina Satchwell and believes there will be an "internal evaluation of the case".
An initial garda search of the house where Ms Satchwell's remains were subsequently found noted that renovations had been carried out around the stairs but failed to discover her body in June 2017, three months after her killer, Richard Satchwell reported his wife missing.
However, a new garda team took over the case.
They searched the house again six and a half years later in October 2023 and discovered Ms Satchwell's remains buried in concrete under the stairs.
The Taoiseach said he listened to Ms Satchwell's family speak about how traumatised they had been by the entire situation and pointed out the gardaí did succeed in apprehending the culprit.
"It did take longer than maybe ordinarily but at least it is a crime that has been resolved," he said.
"I've no doubt there will be an internal evaluation by An Garda Síochána in respect of that aspect of it, that happens on a regular basis," Mr Martin said.
"But it is not for me at this particular point in time to get into the operational side of detective work and pursuing the outcome of a crime."
Garda Headquarters would not comment on the case or confirm whether there would be an internal inquiry into possible failings in the initial investigation.
A spokesman said it was "precluded from comment on matters that are subject to appeal before the courts".
Garda Headquarters also said that "without commenting on any specific case, once completed, there are often de-briefs for major investigations to see if any lessons can be learnt that can then be fed into Senior Investigation Officer courses and conferences."
Richard Satchwell has been sentenced to life in prison for the murder of his wife, Tina, in their home in Cork in 2017.
He was found guilty of her murder after a trial that lasted almost five weeks.
