Finance Minister Paschal Donohoe told an Oireachtas committee meanwhile that if Britain leaves without a deal "there will be trade-offs and choices that have to be made" in order to avoid Border infrastructure which the Government is resolute it will do.
May is seeking legally binding changes to the deal to replace the Northern Irish backstop, an insurance policy that aims to prevent the reintroduction of a hard border between EU-member Ireland and the British province of Northern Ireland.
Ms May said opposition leader Jeremy Corbyn "also believes the potential indefinite nature of the backstop is an issue", and that the European Union has "already accepted the principle of "alternative arrangements" superseding the backstop should it ever be required".
Writing in the Daily Telegraph, he said that "if Tory MPs were asked to go into electoral battle in the next few months, there would be a hole in the heart of our manifesto".
"Neither a unilateral withdrawal or an end date solve the problems of the backstop", Mogg said.
"A series of votes has taken place in the British parliament, upon the basis of which the prime minister will come to explain what comes next".
The prime minister said she was in Belfast "to affirm my commitment to delivering a Brexit that ensures no return to a hard border between Northern Ireland and Ireland - which is unshakable".
Prime Minister Theresa May was due to hold a conference call with around 55 chairmen and chief executives of European multinationals with operations in Britain.
Japan have no time to feel sorry for themselves: Yoshida
However, in the last few minutes, Qatar came back again sealed the deal with a penalty after the ball hit the arm of Yoshida. But Hajime Moriyasu's new-look side lacked end product against Qatar, who had never previously gone beyond the last eight.
We also want to find creative ways of enhancing the links between all our peoples - and in particular, to build the links between our young people.
There was immediate concern from Conservative Brexiteers over Mrs May's apparent indication that she was instead seeking "changes" to the backstop arrangement, meant to keep the border open if no broader trade deal is reached after Brexit.
However, sources within the cabinet believe the so-called "Malthouse Compromise" plan is unworkable.
She also emphasized the government's support for the Good Friday agreement, the 1998 treaty that largely ended decades of violence in Northern Ireland known as "the Troubles".
Labour MP Virendra Sharma, a supporter of the pro-EU Best for Britain campaign, said: 'Surely this is peak Chris Grayling, only this time he's gone worldwide.
She admitted that while she had worked tirelessly to make the case for her Withdrawal Agreement, she'd had to accept it would not get through the House of Commons in its present form.
A second defeat would place huge pressure on May to pursue a softer Brexit and to delay the date that the United Kingdom leaves.
The company said it had made the decision "for business reasons", but added that "the continued uncertainty around the U.K.'s future relationship with the European Union is not helping companies like ours to plan for the future".