The meeting, which took place on Thursday, brought together European Commission Executive Vice-President Maros Sefcovic, Spanish Foreign Minister Jose Manuel Albares, UK Foreign Secretary David Lammy and Gibraltar Chief Minister Fabian Picardo.
"Building on significant progress of 12 April and 16 May, today's discussions were constructive and productive, resulting in further progress on the complex issues of negotiations, namely in the area of people and goods," the statement read.
Gibraltar has been a stumbling block in relations between Spain and the UK for three centuries. Following the War of the Spanish Succession of 1701-1714, Gibraltar was ceded to the UK. Since then, the British have controlled the rocky section of the Iberian Peninsula's southern coast with an area of 6.5 square kilometers (2.3 square miles) and a population of 30,000 people.