Prompted by her poor election showing, particularly among pro-EU young people who fear losses of jobs and opportunity from Brexit, some of her most senior ministers and two former Conservative prime ministers have called for a rethink.
"The message is clear: all five parties want to..."
Mr Coveney made his comments at Stormont on Monday evening after a day of British and Irish governmental and multi-party talks aimed at finding an agreement to reinstate the Northern Executive and Assembly by the deadline of June 29th.
Irish Minister for Foreign Affairs, with special responsibility for Brexit, Simon Coveney said he welcomed the negotiations, which are not only important for the European Union and Britain but "are one of the most important set of negotiations in the recent history of our country".
Barring a "unanimous decision" to extend the time available, the Minister said, a withdrawal agreement must be in force by March 2019 to ensure an "orderly" withdrawal of Britain from the EU. "We are talking about a confidence and supply agreement with them", she said.
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The participants have until June 29 to reach a deal that would see devolution returned or they face the prospect of direct rule being reimposed from Westminster.
Also in Dublin for a meeting with Mr Varadkar, Sinn Fein Stormont leader Michelle O'Neill voiced her optimism that a deal was "doable".
Theresa May has cancelled next year's Queen's Speech to give the Government more time to push through Brexit laws.
Speaking in Downing Street alongside Mr Varadka, Mrs May dismissed these concerns as she claimed her government "remains absolutely steadfast" in its commitment to upholding the Good Friday Agreement. They told me the United Kingdom would vote Remain, they said Theresa May would win a commanding majority, now they tell me that the deal with the Democratic Unionist Party is essential for our national stability.
"These talks will be hard at points, but we shall be approaching them in a constructive and respectful way".
"We know each other and we understand each other", she said.
"Not only do a huge majority of people in Northern Ireland want to see abortion made available to women and girls in the tragic circumstances of sexual crime or fatal foetal diagnosis, but they also want to see abortion decriminalised and dealt with through healthcare policy".