The Taoiseach has held a wide-ranging discussion on Northern Ireland and British-Irish issues with British Prime Minister Boris Johnson at Chequers, his country estate.
It was their first face-to-face meeting since last August.
Micheál Martin described the discussions as "wide-ranging and constructive".
In a post on Twitter, he said the talks had included British-Irish relations and "the long struggle for justice by the Ballymurphy families.
"We also reaffirmed both governments' commitment to the Good Friday Agreement and its institutions."
The Taoiseach told RTÉ News both sides were anxious to give some time to discussing the post-Brexit British-Irish relationship, particularly in the context of the Shared Island initiative.
Wide-ranging & constructive discussions with @BorisJohnson today on British-Irish relations, including the long struggle for justice by the Ballymurphy families.— Micheál Martin (@MichealMartinTD) May 14, 2021
We also reaffirmed both governments' commitment to the Good Friday Agreement and its institutions. pic.twitter.com/RtNUXmVe8W
On the coroner's findings on the Ballymurphy killings, the Taoiseach said: "We had a good discussion on that issue. I think we're both fully apprised of the terrible injustice that was done to the victims of Ballymurphy and their families.
"I think the Prime Minister is very well aware of that and obviously the views of the families of the community and Ballymurphy.
"And I think the British Prime Minister, you know, is fully appraised of it. And I think will respond in his own way, in his own time."
The two leaders also talked about suggestions that the British government wants to legislate for a form of a qualified statute of limitations for British soldiers who served in Northern Ireland and for paramilitaries as well as a South African-style Truth and Reconciliation Commission to find out what happened to the victims of the Troubles.
The Taoiseach said they discussed the issue under the broader heading of the Stormont House agreement and its implementation.
Taoiseach arrives at Chequers for meeting with PM Boris Johnson pic.twitter.com/NeqLXFjAn3— seanwhelanRTE (@seanwhelanRTE) May 14, 2021
"We stressed the necessity for no unilateral approaches on it, that there would be an inclusive process in terms of any discussions around that, and other related related issues."
He said they discussed the intention set out in the Queen's speech for the British government to legislate on the issue, but said "we didn't get into specifics about that, but rather, in the context of the Good Friday Agreement to both protect institutions and also to deal with issues on an inclusive basis".
This evening Carmel Quinn , the sister of John Laverty - who was among those killed at Ballymurphy - said it has taken 50 years for the truth to come out which she said "has destroyed their lives".
Relatives of some of the 10 innocent victims killed in August 1971 were speaking on the Late Late Show tonight.
Ms Quinn said this week's verdict has brought "joy of sorts", adding that the British Prime Minister’s apology was badly handled and written.
Ms Quinn added they want accountability and wants Mr Johnson to take amnesty completely off the table. She said Mr Johnson has to know what he’s apologising for.
Briege Voyle, the daughter of Joan Connolly, said the last three weeks have been horrendous as they did not know what was going to happen. She said they didn’t ask Mr Johnson for an apology and they now need to know why their loved ones were shot.
The Taoiseach and Mr Johnson also discussed the Northern Ireland Protocol, the implementation of which – in particular the checks on food imports into Northern Ireland – has been a cause of political tension.
The Taoiseach said: "We had a considerable discussion and exploration of the issues all around that, but of course fundamentally it's a European Union/United Kingdom discussion and negotiation.
"We're all mindful of its impact on Northern Ireland, and the importance of dealing with the issue in a non contentious way, and working to see can these issues be resolved.
"It is our view that these issues can be resolved in the processes that have been laid down by the withdrawal agreement, and the context of the joint committee.
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"And we do know that, Maros Sefcovic on the EU side and David Frost get on well together, have the capacity to work well together and if there was a collective will on all sides that we can we can, we can resolve some of these issues. And there was considerable discussion around all of that."
Asked if a food standards agreement between the UK and EU, similar to that between the EU and Switzerland was, discussed the Taoiseach said: "We explored it with some breadth, and in some detail but again it's primarily an EU-UK negotiation and discussion.
"But you know it was useful to hear the UK's concerns from their wider perspective in the post Brexit world. From our perspective, it's very clear the European Union wants to be constructive and wants to engage in a constructive process with the United Kingdom on this, and we articulated that point very clearly."
Regarding plans for a British-Irish "travel bubble" being developed, Mr Martin said: "Obviously the Common Travel Area has been preserved and I think there's opportunities for us to enhance that over time.
"But we didn't discuss that specifically today because the transport ministers, and tourism ministers, are engaged in those discussions.
"But if we can continue to make the progress that we are making on Covid, certainly those are the kinds of proposals that we want to see developed to facilitate travel between our two countries."
A Downing Street spokesperson said: "The Prime Minister met Taoiseach Micheál Martin at Chequers this afternoon.
"The leaders reflected on the Coroner's report into the Ballymurphy massacre published this week. They agreed it was profoundly sad that the families of victims had to wait so long for the truth.
"The Prime Minister restated the UK Government's commitment to finding a way forward in Northern Ireland that delivers for victims, aids truth recovery and helps communities in the future.
"The Prime Minister and Taoiseach discussed their shared ambitions for the future of the UK-Ireland relationship including further collaboration on science and technology, fighting climate change and cultural endeavours.
"They agreed on the importance of working together to uphold the Belfast/Good Friday Agreement and to maintain smooth trade between Great Britain, Northern Ireland and the Republic of Ireland.
"The leaders resolved to continue to work together in our fight against coronavirus and to closely share information in order to enable a better recovery."