In her most notable public appearance in Northern Ireland since the Brexit vote, Ms May suggested that an expiration date on the backstop - the agreement meant to prevent a hard border in Ireland - could be required to secure a deal through parliament.
Irish finance minister Paschal Donohoe said on Tuesday that there was "no such thing" as a "managed no-deal Brexit".
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".
"I know that the prospect of changing the backstop and re-opening the withdrawal agreement creates real anxieties here in Northern Ireland and in Ireland", May added.
British officials have revived Cold War emergency plans to relocate the royal family should there be riots in London if Britain suffers a disruptive departure from the European Union next month, media reports said yesterday. Nissan's Europe division boss wrote to factory staff in the English city of Sunderland, telling them the model will continue to be made in Japan.
With Britain's Parliament at odds over Brexit, Prime Minister Theresa May gathered pro-Brexit and pro-EU Conservative lawmakers into an "alternative arrangements working group" seeking to break the deadlock.
May hasn't spoken to European Union leaders since Wednesday, a day after British lawmakers instructed her to seek changes to the Brexit withdrawal agreement she had spent a year and a half negotiating with Brussels.
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According to The Sun , Meghan has lined up Lauren Mishcon to be her carer alongside a regular midwife for the big day. Meghan Markle " s visit to a charity for sex workers last week was widely heralded as "inspirational'.
Donohoe reiterated that the signing of the already agreed withdrawal agreement with the United Kingdom was the only way to ensure an "orderly" Brexit.
Nissan dealt another blow on Sunday by announcing it was shifting future investment away from its largest European plant in Sunderland, north east England, which employs 7,000 people.
However a separate Brexiteer source said Tories could accept the backstop if there was a clear unilateral exit mechanism, which appears a more likely compromise with the EU.
The auto giant announced in 2016 that it planned to build its X-Trail model in Sunderland, but will now assemble it instead at Nissan's global production hub in Kyushu, Japan.
"We will find a way to deliver a Brexit that honors our commitments to Northern Ireland, commands broad support across the community in Northern Ireland and secures a majority in the Westminster Parliament", May will say, according to extracts of a speech released by her office.
But May's spokesman, James Slack, denied that the Brexit process was deadlocked.
At present the EU's approach to no-deal has been to leave arrangements to each country individually and details of a new French no-deal law on British people's rights are expected tomorrow.
Thirdly, take a look at this extract from Mrs May's speech: "So while I have said that technology could play a part and that we will look at alternative arrangements, these must be ones that can be made to work for the particular circumstances of Northern Ireland".