Mrs May claimed Britain and the European Union are "within touching distance" of an agreement on citizens' rights but she faces a bigger headache over Northern Ireland.
A breakthrough on the Brexit stand-off over the Irish border appeared closer today after new proposals based on fresh devolution to Belfast emerged. There is undoubtedly an ever-increasing usage of nasty, jingoistic language by certain sections of the Brexit brigade, built on the shaky mythology of past imperial glory and imagined superiority.
The full Cabinet on Tuesday approved the UK's negotiating position for the first phase of Brexit negotiations - which the Prime Minister hopes will lead to agreement from the rest of the European Union in just over a fortnight for talks to move on to trade and transition. Instead came the Easter Rebellion of 1916, the Irish War of Independence, the partition of the island between the independent Republic and Northern Ireland (part of the UK), the Irish Civil War, and three decades of terrorist war in Northern Ireland that only ended 20 years ago.
"Then the Member States will define in 2018 the framework of this new partnership with the United Kingdom".
The EU will not move on to discuss subjects like trade until there has been "sufficient progress" made on the issues of Ireland, Britain's Brexit bill, and the rights of EU citizens living in the UK.More news: Microsoft plans to expand Redmond campus
If EU leaders feel "insufficient progress" has been made, they will not permit talks to move to the second phase - discussions on the future relationship between the EU and UK.
Businesses are desperate for negotiations to start on the transition deal that Britain wants to put in place after Brexit and also for talks to get going on trade - where the real fight begins.
One senior European Union source said the final agreement was unlikely to emerge before the weekend as the Irish push for last-minute concessions before the progress meeting between May and Juncker on Monday.
"But I want to ensure that we can go forward together, because I want to build a deep and special partnership with the European Union when we have left".
'We need political solutions now and we are not getting them from the UK Government'. Prime Minister Leo Varadkar said the situation is "rapidly evolving".More news: MSD launches United Kingdom hub as government announces industrial strategy
"Then all that money - £60 billion lying around - we could use that to help the NHS and other things and even do tax cuts".
In Ireland, as well as keeping the border open, the GFA would be reanimated by a new economic agenda and a possible threat to peace on the border would be lifted.
Mr Paisley is one of 10 DUP pro-Brexit MPs who are propping up the Government on key votes.
"We are not about convergence here, we are about co-operation".More news: Unlocked HTC U11 Update to Oreo Rolling Out Today