She wants a "backstop" measure which would create a temporary "joint customs territory" with the European Union for the whole of the UK.
Brussels will include a plan to put a customs border in the Irish Sea if there is a no-deal Brexit, a leaked letter from Theresa May suggests.
Mrs May insists in her letter to Mrs Foster that she would never allow this second backstop to be activated.
East Antrim MP Sammy Wilson attacked the prime minister following the emergence of leaked letter from Mrs May to DUP leader Arlene Foster and her deputy Nigel Dodds. To say, "because I've been incompetent in the negotiation so far I'm going to have to agree to a final backstop that could undermine the integrity of the United Kingdom, but go on to say, trust me because I'll be more competent in my future negotiation than I have in the ones to date", is a line that lacks credibility'.
In extracts published by The Times, the prime minister's letter refers to European Union demands for the proposed Brexit backstop arrangement to avoid a hard border on the island of Ireland.
The EU has made concessions on the biggest hurdle in the talks - the Irish border backstop or an emergency fix to ensure the frontier there stays open regardless of how Brexit goes - but there are still differences on the life span of such a solution, a review mechanism or the depth of regulatory alliance under the all-UK backstop, which has been sought by London.
The prime minister wrote: "They want to maintain a Northern Ireland-only "backstop to the backstop" in case the future negotiations are unsuccessful".
Mrs Foster said: 'The Prime Minister's letter raises alarm bells for those who value the integrity of our precious Union and for those who want a proper Brexit for the whole of the UK.
"The Government will not agree anything that brings about a hard border on the island of Ireland".
Brexit is expected to dominate the agenda of the British Irish Council, which also involves the first ministers of Scotland and Wales, Nicola Sturgeon and Carwyn Jones. Your letter has raised a series of issues about the nature of the backstop.
It came as Mrs May embarked on a diplomatic tour of Europe as she raced to get a Brexit deal ready to present to her Cabinet as soon as Monday.
Nevertheless he appealed to Republicans not "beholden" to Donald Trump to reign in any attempt to fire Mueller. One of the exceptions, Senator Susan Collins, said non-interference in the Mueller probe was "imperative".
The hospital is in Paradise, a town of about 27,000 people 180 miles (290 kilometers) northeast of San Francisco. The company also said about 14,000 residents in Butte County and neighboring Plumas County were without power.
Sur le plan humain, les personnels soignants de notre établissement sont profondément bouleversés par la situation . D'après les informations de L'Alsace , la fillette avait été victime d'un arrêt cardiaque après l'intervention.
The When Harry Met Sally actress confirmed the news a day after she was spotted in New York City, sporting a diamond ring. The You've Got Mail actress was married to Dennis Quaid from 1991-2001 whom shares 26-year-old son Jack .
Warner Bros.' Fantastic Beasts: The Crimes of Grindelwald has debuted on review aggregator Rotten Tomatoes with a 56% "rotten". The 36-year-old actor was joined by his co-stars Alison Sudol , Callum Turner , Katherine Waterston and Dan Fogler .
The 25-year-old was 10-6 with a 3.86 ERA in 22 starts and three relief appearances this year, striking out 142 in 128⅓ innings. He is second among active pitchers in wins and starts to Bartolo Colon (247-188 in 565 games, including 552 starts).
Cr Wright said the incident occurred in about the same location where Tadashi Nakahara was fatally attacked in early 2015. On Monday, a shark killed a man in a harbor in the Whitsunday Islands, where two tourists were mauled in September.
Thomas, who had been the longest-tenured Broncos player, was traded on October 30, just hours before the league's deadline. That's not a great stat for Joseph's resume. "He was a great player here, and we honored him on Sunday".
La décision est tombée: les supporters de l'ASSE ne pourront pas se rendre officiellement à Décines, le 23 novembre pour le derby. Le club attend de recevoir la notification de cette sanction pour en connaître les motivations et décider d'un éventuel appel.
White House bans CNN reporter Jim Acosta after Trump row
Both Sanders and Watson used the clip to attack Acosta , but the 15-second video has been distorted to make Acosta look menacing. Sanders alleged that Acosta "placed his hands" on a White House intern during a testy exchange with President Donald Trump .
Donald Trump Insults CNN Reporter in Heated Press Conference
NBC's Peter Alexander defended Acosta, saying he is a diligent reporter, but Trump told Alexander he wasn't a fan of his, either. Sanders, who has not said where the tweeted video came from, said it clearly shows Acosta made contact with the intern.