Stormont: First Minister reiterates border poll confidence but Deputy First Minister says momentum for such a vote does not exist
The Ministers also had their say on the Legacy Act
Stormont's First and Deputy First Ministers have been having their say again on the potential for a united Ireland.
Michelle O'Neill reiterated Sinn Fein's call for a border poll by 2030
And she said she could "absolutely" envisage a vote on a United Ireland happening while she was in post.
However, Deputy First Minister Emma-Little Pengelly said there was no momentum for such aa poll.
And she believes Northern Ireland's best future lies within the United Kingdom.
Both were speaking in separate interviews on the Sunday Morning With Trevor Phillips programme on Sky News.
Ms O'Neill said: "My party's view is that we should have this by 2030, that's only a short way away.
"So now is the time for the planning, the preparation.
"I don't want done to the people here what was done in relation to Brexit.
"Brexit was a massive act of economic self-harm, it was done against the wishes of the people here.
"We have an ability to take control of our own fortunes. I encourage all political leaders to reach for that together.
"Let's find accommodation for each other. Let's build a new Ireland where those of us that have an Irish identity, a British identity, and those people have made here their home.
"We can make this a much better place for all of us, an inclusive place.
"That's the prize I'm reaching for."
But Ms Little-Pengelly "When we look across the globe at a time of instability, of a lot of concern and apprehension, a strong and United Kingdom, working together, fighting together, defending together, I think, is what serves all of our citizens better."
The deputy First Minister added: "I think it's important to say that in Northern Ireland, nationalism and republicanism haven't increased their vote from 1998, despite demographic change.
"They're sitting in and around the same percentage that they had in 1998.
"I think those who want to see the breakup of the Union do try to constantly get this momentum.
"I have no doubt that you will hear that again, because to serve their purpose is to try to get that sense of momentum towards that.
"That doesn't exist in Northern Ireland."
In relation to questions on the Legacy Bill, the First Minister said the UK Government was giving "preferential treatment for British state forces" in its approach to dealing with the legacy of the Northern Ireland Troubles, Michelle O'Neill has said.
She said there needed to be "fairness across the board" in legislation currently going through Westminster.
Ms Little-Pengelly said the DUP was challenging the Government to "stand up for and protect" veterans who were sent to serve in Northern Ireland.
Last year the UK and Irish Governments announced a new framework to deal with the legacy of the Troubles.
Labour is currently progressing its Troubles Bill at Westminster, which will replace the controversial Legacy Act introduced by the previous government.
Recently, MPs backed a remedial order which removed the measures in the previous Act providing conditional immunity from prosecutions for Troubles-era crimes, as well as scrapping a bar on future legacy compensation cases.