The announcement of the visit comes just two days after May announced plans to hold a snap general election in Britain on June 8 in what she hopes will give her a "mandate to complete Brexit".
EU officials said European Council president Donald Tusk, who chairs summits of the 27 other EU leaders who will decide where to put the agencies, aimed to set out some procedures for making the choices by the time they next meet April 29.
The U.K. would be welcomed back to the EU if British voters change their minds in the snap election in June, Antonio Tajani, the president of European Parliament said Thursday.
European Union foreign policy chief, Federica Mogherini says, Britain will lose more than the European Union (EU) from its decision to leave the bloc.
"They will have to dismantle their belonging to a community".
Sir Keir Starmer, the Shadow Brexit Secretary, said: "The Prime Minister should have spent the last nine months building alliances across Europe, not pandering to those in her Cabinet and her party who want to sever all links with the European Union and retreat from closest allies and most important trading partners".
Both the divorce bill and the fate of European Union citizens are expected to be among the toughest areas to reach agreement on, following a Brexit campaign which railed against the UK's payments to Brussels and the number of migrants in the country.
Britain voted to leave the European Union last June and May formally triggered Article 50 - the EU's divorce clause - on March 29, beginning what are set to be two years of hard negotiations before Britain finally leaves.
MEPs will have a vote on any deal struck by Mrs May at the end of the two-year process of negotiations under Article 50, giving the Parliament an effective veto.
Asked where the reciprocity lay in trying to charge a massive "exit fee", put at around £50bn, for leaving the EU, Mr Tajani said: "No we have to be clear on this, the United Kingdom will pay only the money, nothing more nothing less". This can not be delayed.
Asked about the Commission paper, a Downing Street spokeswoman said: "You wouldn't expect me to comment on leaked documents".
China has looked on with some concern at the Brexit process, nervous about instability in the bloc that is China's largest trading partner.
In a reflection of some of the complexities that divorce will entail, the paper said goods placed on the market on either side of the new EU-UK frontier before Brexit would continue to be covered by EU rules even if only sold afterwards - a measure to address uncertainties about guarantees, labeling and so on.