The talks, which are to begin in Brussels on Monday June 19, "will focus on issues related to citizens' rights, the financial settlement, the Northern Irish border and other separation issues, as part of the sequenced approach to the talks", the European Commission said in a press release Friday, adding that "both sides will also discuss the structure of the negotiations and the issues that need to be addressed over the coming months".
It had been suggested negotiations could have been delayed by the failure of any parties to win a majority in last week's British general election.
"Our focus over the last couple of days has obviously been on the tragic fire a Grenfell Tower in West London and our thoughts are with the families of those who died and the community in that area", he said. There is a steady dialogue between the two sides that has never stopped at any point.
Conservative MP Bob Stewart said it was unlikely the party would oppose the Conservatives at Westminster anyway.
Before her visit, Sinn Fein's leader at Stormont Michelle O'Neill said: "I will be making it very clear that any deal between the Tories and the DUP can not be allowed to undermine the Good Friday and subsequent agreements".
Speaking as he arrived for a meeting of European Union finance ministers in Luxembourg, he said: "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 we have to be honest, it will take much more than that for us to be convinced that the DUP tail is not wagging the Tory dog", he told reporters.
"People shouldn't regard it (the peace process) as a given".
A deal with the DUP also risks destabilising Northern Ireland by increasing the influence of pro-British unionists. "You folks here make enough mess of your own elections, make enough mess of your own governments, make enough mess of your own affairs".
Arlene Foster said the negotiations did not hinge on May's legislative program - the so-called Queen's Speech - that the British prime minister will lay out on Wednesday and Foster's Democratic Unionist Party has said it will support. The party has refused to give a time frame for reaching a deal, though May is due in Brussels for an European Union summit on June 22-23 when she will want to show she has a solid grip on power.
"The parliamentary arithmetic is such that we are going to have to work with everyone", he said.
"We know each other and we understand each other", she said. "All the options are balanced and come with obligations", an European Union official working on Brexit said, noting that May had seemed to be looking for a sweeping free trade deal like that agreed previous year with Canada but that some of those calling for "soft" Brexit cited arrangements such as those with Norway and Turkey.
"However, while talks are ongoing it is important the Government gets on with its business and we are confident there will be sufficient support across the House for passing the Queen's Speech".
"As we enter negotiations, we will do so in the spirit of honest cooperation, taking a pragmatic approach to trying to find a solution that works both for the United Kingdom and for the European Union 27", he told journalists in Luxembourg.