Representatives of pro-Remain parties here have said the draft agreement is an opportunity to look at the glass "half-full".
Members of the SDLP, Sinn Fein, Alliance and the Green Party met Taoiseach Leo Varadkar and Minister for Foreign Affairs, Simon Coveney, yesterday in Dublin.
After the meeting, Sinn Fein leader for Northern Ireland Michelle O'Neill said: "We have had a very positive meeting, where we were able to seek some assurances over what has been achieved in the agreement so far.
"We set out as four pro-Remain parties with a common objective. In the first instance, we speak for the majority in Northern Ireland, and we're conscious that the DUP do not speak for the majority in the north.
"We come at it from a number of bases, firstly that we need to protect the Good Friday Agreement, we need permanency in the backstop and no room for withdrawal from the British Government, and that has been achieved thus far.
"We are broadly positive."
SDLP leader Colum Eastwood called on those in Westminster to consider Northern Ireland's position in Brexit negotiations.
"I would say to the people in Westminster, I know you have your own constituencies but we have a responsibility, and I think everyone has a responsibility to avoid a hard border, this does that," he said.
"We cannot risk the peace and progress we have made."
The four party representatives have travelled together over recent weeks to state the case for Northern Ireland, where 56% voted to remain in the EU.
Stephen Farry, from the Alliance Party, called for cool heads as negotiations continued in Westminster.
"For those people who are trying to dramatise this, they are getting that badly wrong. They have to have a cool response to this, a rational consideration of the issues before us," he said.
"This is not a change to the constitutional position, this is all about pragmatic interventions to protect our economy."
The group said the agreement was "significant" for citizens in Northern Ireland and now was not the time for "incendiary language".
"I think it's a day for a glass half-full approach," Ms O'Neill said.
The group appealed to unionist representatives to join them at the table to protect Northern Ireland's future.
"This deal has the potential for us to have the best of both worlds, to be a bridge to the market in Ireland and Great Britain, a source of potential investment," Mr Farry added.
"We're very open to unionism engaging in this process. We have a common interest in protecting Northern Ireland.
"Our message is that unionism should come and join us at the table and let us have a collective effort to stand up together."
Ms O'Neill added: "Brexit is not orange or green. It affects all of us equally."
Meanwhile, the first signs of Brexit's true impact on the Republic have hit as investors fear the Brexit deal is already dead.
The rapidly unfolding crisis hammered Irish shares, leaving top-tier companies, including Ryanair and Bank of Ireland, facing big losses.
Despite the optimistic tones initially struck about Wednesday's deal, plans for a 'no deal' scenario are continuing unabated in Dublin.
Tanaiste Simon Coveney told the Irish Independent: "All of that work continues because we can't take anything for granted, that's for sure."
However, the Irish Government remains coy about the full extent of the preparations already in place.
Irish Revenue Commissioners are preparing to hire more customs officials to support trade from next April.
Its chairman Niall Cody briefed TDs yesterday, saying: "If it happens there'll be big challenges."
Irish shares were hit hard yesterday, with €3.3bn wiped off their value.
Local and National
At the last General Election every major party stood on a manifesto commitment of delivering upon the referendum result. There was a Parliamentary majority of nearly 400 in the vote to trigger the Article 50 process.
There is no such thing as a good or sensible Brexit. It was always going to leave the UK less prosperous and less influential in the world. And given our unique circumstances and complexities, our complementary north-south and east-west economic and social links, Northern Ireland was always vulnerable.
Today marks 875 days since the UK voted to leave the EU and at long last, we now know what Brexit means. It is not a deal that was “one of the easiest in human history” as then senior Tory Liam Fox predicted, but a deal never the less.