Taoiseach Enda Kenny has said he "regrets" that the medical card issue "got out of hand".
He said that the "system was changed to bring equality to it, but the computer doesn't have nature."
"So in changing the system to have equality of assessment it forgot that that assessing process left aside or presented enormous strains for people, so I hope we can rectify that", he said.
Mr Kenny made the comments in an interview on RTÉ's 'Meaning of Life' programme, which airs on RTÉ One Television at 10.05pm.
In reference to his Cloyne speech, he told Gay Byrne that "the sort of glorious Ireland that was often times painted were not in fact the 'good-old-days' at all.
"And in that sense I'm happy in myself that because of speaking out - not just me speaking out, but because of the position that I actually hold in speaking out - has made a difference in that the Church has moved.
"That there's an understanding that these matters have to be dealt with thoroughly and comprehensively and compassionately and properly.
"And that you put in, in so far as is possible, safeguard that these things could never happen again," he said.
Mr Kenny said that Ireland used to be "obviously" a Catholic-dominated country and he believes it is "a Christian country".
He said he thinks the relationship now between Church and State in Ireland is "actually healthier and stronger than ever before".
Mr Kenny said he thinks he has "a very meaningful relationship with the members of the Church.
"Yes, some do give out to me, some look at you slightly differently but by-and-large people say 'this is better' ... I'm glad to see that people like Diarmuid Martin and members of the Church here want these things sorted because they believe that the Church that they lead wants to be with its people happy in that knowledge", he said.