The EU's executive Commission said in a statement Friday that the first round of negotiations in Brussels will be part of a "sequenced approach to the talks".
But the United Kingdom says Article 50 of the Lisbon Treaty states "divorce talks" should take account of a departing member state's future relationship with the bloc.
After voters rejected that request, the Brexit talks start Monday lacking clarity on what the exact nature of the UK's departure from Europe will be.
Put together, May's case for a hard Brexit is extraordinarily weak - something that negotiators in Brussels will see coming before Davis and his team have a chance to step off the Eurostar train. The Conservatives have 318 of 650 parliamentary seats, down from 330, and are seeking support from a small Northern Irish party, the Democratic Unionist Party, to support a minority government.
May has said Britain will leave both the single market and the customs union.
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Britain's negotiations with the European Union over its exit from the bloc begin on Monday and stand to be complicated by the surprise loss of Prime Minister Theresa May's parliamentary majority in a national election last week.
"But it is a negotiation, and as we go into that negotiation my clear view. and I believe the view of the majority of people in Britain, is that we should prioritise protecting jobs, protecting economic growth and protecting prosperity as we enter those negotiations and take them forward". "But the withdrawal and future are intimately linked".
Fighting for her political survival, May has been trying to strike a deal with a small Northern Irish Protestant party to avoid a second election that could delay Brexit talks and damage the $2.5 trillion economy.
The Commission's chief negotiator Michel Barnier has made clear that he wants to agree on divorce terms before moving on to discussing the U.K.'s future relationship with the bloc at a later stage in the negotiations.
"We believe that the withdrawal process can not be concluded without the future relationship also being taken into account".
They will hold more than seven hours of official talks.
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