“Wherever we go, we get the response that we want a constructive negotiation and a constructive future. I don't know what the opposite of that is, I don't think anyone wants that. As I said before, we want a strong European Union," the minister, David Davis, said at a press conference concluding his brief visit to the Estonian capital on Monday.

Speaking of the future, Davis said that Britain would not pursue a policy that is against its national interests. Specifically, he said that it was in Britain's national interest to have students coming to British universities, financiers coming to the City of London, and programmers from Estonia and elsewhere coming to work in Britain.

"All those things we want to see continued and so do not expect to see any sharp sudden changes, indeed any changes in the global battle for talent. We are a successful country, and we are successful partly because we have clever people, talented people come to Britain," he added.

Davis will move on to Latvia and Lithuania next.

The Department for Exiting the European Union was established in the summer of 2016 as the British government’s department responsible for overseeing negotiations relating to the UK's withdrawal from the EU, and establishing the future relationship between Britain and the union.

Prompt agreement on rights of EU, UK citizens possible

Davis said there was no reason why the EU and Britain shouldn't be able to reach a quick agreement on the rights of British and EU citizens after Brexit. "I see no reason why we couldn't get a very, very fast answer to that question. An answer which is generous to EU citizens in Britain and generous to British citizens in the European Union. That's our aim both morally and legally,” Davis said.

"We want to see a solution to that as quickly as possible. Had we been able to get such a solution in December, we would have done so,” he added.