Reuters David Frost, left, and Michel Barnier, right, will resume talks in London next week.
"Our goal was to get negotiations successfully and quickly on a trajectory to reach an agreement", Michel Barnier, the European Commission's Head of Task Force for Relations with the United Kingdom said in a statement.
"However, after four days of discussions, serious divergences remain", he added.
British and EU negotiators are trying to reach agreement on contentious areas such as the level playing field, fisheries, and the role of the European Court of Justice after Brexit.
Barnier has previously insisted that in order to find compromise, the British government should at least publish its plans for how the UK's domestic subsidy regime will work from the end of the year when the transition period ends.
Further, the EU wants balanced, sustainable and long-term solution for European fishermen and women, and thirdly an overarching institutional framework and effective dispute settlement mechanisms, he said.
"Talks will continue next week in London as agreed in the revised terms of reference published on 12 June", Mr Frost said in a statement on Thursday.
"The EU expects, in turn, for its positions to be better understood and respected in order to reach an agreement", said Barnier.
The talks this week and next were being held in a more limited format than earlier rounds in the hope that a more personal encounter could deliver a breakthrough.
In a statement, the UK's chief negotiator David Frost said that while the ability to meet in person had given "extra depth and flexibility" to the discussions, there was more to do.
The Uk and European Union have said critical variances stay around a put up-Brexit trade offer, next the most up-to-date negotiations in Brussels. Talks will continue next week, yet as we stand there seems to be no middle ground on a number of issues and while that remains the case, any Sterling upside will be kept in check.
"We continue being dedicated to performing hard to uncover an early comprehension on the concepts underlying an agreement".
BBC Europe reporter Gavin Lee stated the latest spherical of talks had broken up a day early, with a discussion in between the two chief negotiators tomorrow cancelled.
Tweeting out the statement, the Frenchman claimed that while the "EU engaged constructively", "we now need equivalent engagement from the UK".
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