The new grouping was announced as former foreign secretary Boris Johnson accused the party leadership of using rumours of a June general election, which appeared in Sunday newspapers as a "scare tactic", to bounce exhausted Conservative MPs into backing her Withdrawal Agreement.
There would also have to be no checks between Northern Ireland and the Irish Sea and Britain must be able to leave the alternative arrangement of its own accord, the MP said. By setting a relatively low bar for the next round of negotiations, May would increase her chances of getting changes from Brussels.
May said that the open border in the Good Friday Agreement was "the cornerstone around which the community in Northern Ireland has come together to deliver peace and prosperity".
In her efforts to break the impasse over her Brexit deal, May signalled she will seek changes rather than outright removing the backstop, which is created to preserve the open border between Northern Ireland and European Union member state Ireland. The DUP would overlook "misgivings" about other aspects of May's deal and support it, Foster said, if the backstop was "dealt with" - though she declined to specify how that would need to happen to secure the party's backing. And the first time too she has some evidence to show that the deal could, in theory, pass through the Commons if the backstop was eventually changed.
"They want politicians to get on with the job", the home secretary said.
May, during a speech Tuesday in Belfast, restated her "unshakable" commitment to avoiding a hard border and said she didn't plan to remove the "insurance policy" entirely.
The spokesman also said it was "simply not true" that the government was drawing up plans for the evacuation of the Queen from Buckingham Palace in the case of civil unrest after a no-deal Brexit.
Many UK MPs remain staunchly opposed to May's deal, and fears of a no-deal Brexit are growing by the day.
Mrs May told the Commons last week it was "a serious proposal that we are engaging with sincerely and positively".
Britain is scheduled to leave the European Union in less than two months' time on 29 March.
In Brussels, a group of British lawmakers met the head of the European Union civil service and said Martin Selmayr appeared to indicate that the European Union might bind itself to new legal conditions.
The comment, which will anger Brexit supporters in Britain, was tweeted from his account as he spoke the words, indicating it was not an off-the-cuff remark.
Ronan Quigley, executive director responsible for trade at the British Chambers of Commerce (BCC), said it was "reassuring" that HMRC has introduced the transitional arrangements in the event of the "unwelcome scenario of no deal".
Local businesses have urged the government to accept the backstop and avoid a disastrous no-deal Brexit leading to a hard border - which is what the United Kingdom is heading towards, while it attempts to renegotiate a backup plan with the European Union that aims at avoiding precisely that scenario.