DUP leader Arlene Foster has today called for a "sensible Brexit and one that works for everybody".
Speaking to reporters in Dublin, Foster, whose Democratic Unionist Party (DUP) is in talks with Theresa May's Conservatives after they failed to win a majority in the election, said: "We want to see a Brexit that works for everybody, not just in Northern Ireland from my perspective, but of course in the Republic of Ireland as well, so it is about a sensible Brexit."
Foster added: "I know people want to talk about soft Brexit, hard Brexit, all of these sorts of things, but what we want to see is a sensible Brexit and one that works for everybody."
The DUP has come to the fore since the General Election after the Prime Minister had sought to strengthen her hand for Brexit negotiations by calling a snap election in April, but ended up losing her party's majority in a shock result.
Having failed to secure an outright majority, May is in talks with the DUP, who won 10 seats, about a deal to support her minority Conservative government.
The Prime Minister has met the five main Northern Irish parties for talks focused on restoring the devolved assembly in the province.
Foster said talks with May will continue into next week.
"As you know, the Queen's Speech has been now set for next Wednesday. We will continue with those negotiations throughout the weekend and into next week," Foster said.
The Queen's speech has been pushed back two days to the 21 June. It forms part of the state opening of parliament and is set to lay out May's legislative agenda for the coming year.
Brexit talks are also due to commence in the same week.