"That has been part of the negotiations that we've had, very good progress has been made, that was made clear by the statements made by David Davis and Michel Barnier made yesterday", she said.
Following a visit to Downing Street on Tuesday, Mr Tusk told reporters that while both sides were "working hard" to reach an agreement "there is no "sufficient progress" yet".
But by focusing on defense in Tallinn, May will want to show that Britain has something to offer its European neighbors and will say she is ready to share British expertise - including through the National Cyber Security Centre (NCSC) - to help EU nations build up their own cyber-security capability.
Davis declined to put a figure on what Britain might pay.
"The informal get-together in Tallinn, arranged before a "digital summit" on issues ranging from data and cybersecurity to taxing online businesses, has no set agenda, allowing May another chance to pitch her Brexit ideas".
Guy Verhofstadt, the chief Brexit negotiator of the European Parliament, made a joke of Mrs May's precarious situation in London Thursday evening.
Federation Internationale de Football Association set to relax ban on war commemorations
The new law is expected to be passed by November's global games played during the Remembrance weekend when people don Poppies. The fines led Prime Minister Theresa May to call football's world governing body's stance " utterly outrageous ".
"I made that speech to give momentum to the talks and I think we have seen that being shown in the talks that have taken place this week, and further progress has been made", May said on Friday morning. One of the main exit referendum campaign themes played on public discontent with the Luxembourg-based European Court of Justice ruling on British interests.
Still, he hailed the "new dynamic" that May's speech in Italy last week had inspired and the more detailed British proposals that had resulted from it. The UK had been hoping to progress from talks about expatriate rights, the border between Northern Ireland and the Irish Republic, and the divorce bill to negotiations about the future ties between the two squabbling partners.
European Union officials have previously said Britain's offer to European Union citizens falls short of guaranteeing the rights they have now.
"We are making decisive steps forward", Davis said, adding that much progress was made on ensuring the rights of citizens who will be hit by Britain's departure.
Barnier highlighted two key areas of disagreement. The UK has become increasingly pessimistic about getting the go-ahead on future trade talks when European Union leaders meet again next month, as was planned under the commission's timetable for the negotiations, but the government had not entirely given up hope.
"After 15 months of human poker, the uncertainty facing 4 million European and United Kingdom citizens has become intolerable", they said.
Information for this article was contributed by Jill Lawless of The Associated Press.
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