Speaking at a news conference following the meeting Ms Foster said that she had told Mr Barnier that "the draft European Union legal text was not a faithful or indeed fair legal interpretation of the joint report from December".
Stefaan De Rynck, an adviser to European Union chief negotiator Michel Barnier, indicated late on Monday that the plan raised potential conflicts.
Democratic Unionist Party leader Arlene Foster said after a meeting with the EU's chief Brexit negotiator, Michel Barnier, that there can be no division between Northern Ireland and the rest of the U.K.to accommodate for a soft border with the EU.
The draft withdrawal treaty was instead said to amount to an unjustified attempt by Brussels to revise the terms of the Good Friday agreement, which has kept the peace since 1998. "We will be urging our government to come forward with a different text".
The proposal caused an uproar in the U.K. and in Northern Ireland, with Brexiteers arguing that it would break the regulatory unity of the U.K. May said that no British prime minister could agree to it.
Rita Moreno wore the same dress she wore to the 1962 Oscars
Making a slight change to the silhouette, Moreno turned the high, boat neckline cut of the dress into a strapless neckline. And if Rita could go back in time, she shares she would have made her acceptance speech way longer that night.
Barnier conceded, however, in a press conference last week that there may need to be checks on goods coming from Northern Ireland at ports and airports in the rest of the United Kingdom should the proposal for "full alignment" be implemented.
Speaking ahead of the meeting, Mrs Foster said: "The DUP wants to see a sensible Brexit which works for Northern Ireland, the United Kingdom but also for our nearest neighbours too". "What continues to be critical for Ireland is that the guarantees that we need regarding how a hard border be avoided, that those guarantees be maintained". Placing a border down the Irish Sea would not just be politically unacceptable but would be economically catastrophic.
The Sinn Féin leader added that there could be no overall agreement on Brexit unless the issue of the Irish border was solved.
Ms McDonald said the discussions were a meeting of minds and the issue of Brexit was now in "Mrs May's court".
And Nigel Dodds, Mrs Foster's deputy and the DUP's Westminster leader, also blasted Mr Barnier's proposals.
"What emerges clearly from this research is the high degree of integration of the economies north and south".