Spokesman Alexander Winterstein said: "We are fully prepared and ready for negotiations to start".
Mr Davis is expected to meet Mr Barnier at the Commission's headquarters in Belgian capital Brussels on Monday but it is not known how long the initial round of talks will last.
"We should be protecting jobs, protecting economic growth and protecting prosperity", Hammond said as he arrived for a meeting of European Union finance ministers in Luxembourg.
After the general election fiasco, May hopes to secure the backing of the ultra-conservative Democratic Unionist Party, which would add the DUP's 10 seats to the Conservatives' 317 in the 650-member House of Commons.
An EU official close to the matter said the "softer Brexit" talk could be "productive" and help progress in the first months, where the British attitude to discussing the financial settlement "will be the first serious test of the negotiations". "The European citizens in the United Kingdom, we want to get on with as fast as possible because we don't want people to be in a state of anxiety". "We will negotiate in good faith but it is a negotiation, we recognize there will be an exchange of views and we will take that forward in a spirit of genuine cooperation".
Its Westminster sources report that Britain plans to offer to treat non-British EU citizens "as fairly as they have been to this point".
But the Government will press ahead with the first round of Brexit talks two days before the official opening of Parliament.
Barnier this week acknowledged "sensitivity" in London at European Union suggestions that Britain might owe it some 60 billion euros in 2019 and said sorting out the issue soon would help a trade deal: "I would like to very quickly play down this question, and find concrete, pragmatic and just solutions", he said on Monday.
"Depending on a hard or soft Brexit, that number might be slightly less than that, so it's going to be updated all the time", its United Kingdom chief executive Ian Stuart told BBC television.
He wouldn't be drawn on whether he supported Britain's continued membership in the single market and said Prime Minister Theresa May's minority government will negotiate in a "pragmatic" manner, striving for a solution that works for both sides.
"And actually, getting over the fence, there might be some fresh grass out there".