Mrs May assured ministers that there would be another Cabinet before any agreement is settled, though her official spokesman said no extra meeting has yet been scheduled ahead of the regular weekly gathering next Tuesday.
With just five months until Britain is due to leave the EU, May has yet to nail down a divorce deal, with the insurance arrangement to keep open the border between British-ruled Northern Ireland and EU member state Ireland still the outstanding issue.
After that, it must go back to the leaders of the European Union member nations who would meet at a "special summit" before the end of the month.
"For now, we are still negotiating and I am not, as I am speaking to you this morning, able to tell you that we are close to reaching an agreement", he said. She said that, while the United Kingdom should aim to secure a withdrawal agreement as soon as possible, this would not be done at any cost.
She and her senior ministers discussed plans for a "review mechanism" to ensure the United Kingdom is not placed permanently in a backstop arrangement aimed at avoiding a hard border on the island of Ireland.
Hardliner Michel Barnier was characteristically belligerent, insisting that the "backstop means backstop" and there is "still a real point of divergence" on the Northern Ireland issue.
The prime minister told cabinet that they would have another meeting before any agreement was settled, with No 10 insiders concerned a deal should be agreed by the end of this month if it is to be voted on before the United Kingdom leaves the EU.
Expectations are rising that United Kingdom negotiator Olly Robbins will be pressing hard to finalise a deal in Brussels this week, to set the scene for a special Brexit summit later in the month to secure the approval of the leaders of the 27 remaining member states.
"For the past few days, Raab had been aiming for a provision on the Irish backstop which could help pave the way to a Brexit deal", says Christopher Vecchio, an analyst at Daily FX, in a blog post.
"We are not sitting on powder keg knowledge that we have signed a secret deal", the No 10 source said.
He argued that Britain would effectively become a non-voting member of the European Union, having to accept laws made in Brussels with no power to influence them.
"Such an outcome will have serious consequences for economy of Irish Republic".
Donaldson said that he could not understand why the Irish government "seems so intent on this course".
The optimism was fuelled by growing hopes of a Brexit deal breakthrough after a cabinet meeting.
Both Brexit-supporting MPs on the British mainland and Northern Irish represenatives have threatened to vote down in parliament any deal struck by May that separates Irish province from Great Britain or that leaves the United Kingdom within the EU's legislative orbit for an indefinite period of time.
The children say they were kidnapped late Sunday by the Amba boys , and they don't know where they are being held. Since a Government crackdown on peaceful demonstrations in 2017, the movement has gathered momentum.
Fox News and Facebook were also running the advertisement, which CNN had earlier rejected on the grounds that it was "racist". CNN had previously determined that the Trump campaign's advertisement was racist and declined to sell airtime for it.
He said that sharp-shooter Shafat Ali Khan and his son Asghar were officially part of the team and there was no violation. Services of controversial private marksman Shafat Ali Khan was also hired by the forest department.
That criminal pedigree has prompted authorities here to keep him in solitary confinement at a New York City jail. Most of the jurors questioned at the outset said Guzman's name "sounded familiar" to them.
A spokesman from New Zealand police said that the child - who was approximately 2 years old - was "found face-down in some water". But after treatment from paramedics he was given the all clear and Whyte said he was unaffected by his ordeal.
It is understood 10 of the 44 people injured were in a serious condition, the Xinhua news agency reported. The heavy truck reportedly belongs to a logistics company in northeast China's Liaoning province.
Mrs May has reportedly secured concessions from the European Union to avoid a hard border in Ireland , the Sunday Times reports. British Brexit Secretary Dominic Raab tabled the proposal during a "robust" meeting with Tánaiste Simon Coveney last Tuesday.
But as soon as I could grow a moustache, I was the coolest kid on the block. "Grew a mustache, had some muscles, bonkers". Now, after months of anticipation the magazine finally has revealed this year's victor is British actor Idris Elba .
Now, we've known for a while that other Diablo stuff is in development - Blizzard has said that at least a couple of times. Diablo Immortal was the only Diablo announcement at BlizzCon, and to put it mildly, many fans have responded negatively.
Mark Taylor calls for end to cricket bloodletting
"I said many months ago that my next step as a Cricket Australia director was either to step up or step off the board", he added. Mark Taylor had been Cricket Australia director for last 13 years.
Nuwan Zoysa charged for fixing matches
Jayasuriya, 49, was reportedly asked to cooperate with an inquiry from ACU chief Alex Marshall, who visited Sri Lanka last month. Zoysa, who played from Sri Lanka from 1997-2207, has 14 days to answer the charges.
Supreme Court allows census trial to proceed
The administration has said the question will allow the Justice Department to enforce the Voting Rights Act more effectively. The trial beginning Monday is a consolidated case of lawsuits brought by the ACLU and a multi-state coalition led by NY .
Why Is Rebel Wilson Blocking Black Critics?
Since the controversy, its appears Wilson has also been blocking users who've been calling her out on Twitter . Let's please not allow this business to erase our talent with giving grey areas and technicalities.