The meeting was held at the invitation of British Foreign Minister Jeremy Hunt in the town of Sevenoaks, southeast of London, according to the PAP news agency.
Hunt told foreign ministers from Poland, Slovakia, Bulgaria, the Czech Republic, Romania, Slovenia and Hungary that a Brexit deal was necessary to maintain global security in the face of new and emerging threats, the Irish News reported.
The attendees spoke in favour of maintaining close ties between the European Union and Britain.
Meanwhile, the leaders of all 28 European Union member states are expected to meet in Brussels on Wednesday for a European Council to discuss the progress of Brexit negotiations.
Britain is scheduled to leave the European Union in March.
In Sevenoaks, ministers also discussed policy towards Russia, the ongoing conflict in Ukraine and the Eastern Partnership programme.
The Eastern Partnership, an initiative by Poland and Sweden, was launched in 2009 to forge closer political and economic ties between the European Union and its eastern neighbours.
The talks also centred on transatlantic relations, with the ministers saying they hoped for the further strengthening of NATO and adapting the alliance to new security challenges.