Theresa May has called on Conservative MPs to lift "personal preferences" and support a Brexit deal in the House of Commons.
In a letter to all 31
It comes after the government has suffered defeat in the vote on its strategy.
Ms May says that next week she will meet with the President of the European Commission, Jean-Claude Juncker, in Brussels.
She will also talk to the leaders of all EU Member States in the coming days, she says.
The Prime Minister is trying to make changes to the Irish base, an insurance policy aimed at avoiding a hard border between Northern Ireland and the Republic of Ireland after Brexit.
The plan will be largely rejected by members of their party whose fears this will be feared Britain will remain For years, it has been closely associated with the EU without Britain being able to unilaterally end the agreement.
However, EU leaders have repeatedly stated that the resignation agreement is closed.
Attorney General Geoffrey Cox warns indefinitely When the trade talks in Brexit collapse, the UK Customs regulations in a speech on Tuesday set out what changes are needed to remove it.
Brexit Secretary Stephen Barclay is also expected to meet the EU's negotiator, Michel Barnier, on Monday's controversial policy.
Ms. May says in her letter that the defeat of the House of Commons, which included dozens of conservatives, was "disappointing."
"I do not underestimate how deeply and how seriously colleagues express their views on this important issue – or that we are all motivated by a common desire to do the best for our country, even if we do not agree" , she writes.
Making compromises necessary to reach through the Parliament a resignation agreement that will fulfill the result of the referendum will risk the people who have sent us to represent them and risk the bright future that they all have to earn. "
Ms. May says that without an agreement on the withdrawal of the House of Commons, Parliament could stop Brexit altogether.
Alternatively, the UK could do without an agreement that would upset the economy and harm jobs.
But the BBC's political correspondent, Ben Wright, said: May's letter showed "no indication of a change in tactics" for ending the stalemate.
Campaigns for another referendum on Brexit have said that on the weekend before The scheduled departure of the British Government on March 29 will be a major protest.