Turkish Cypriot leader Mustafa Akinci, left, speaks with Greek Cypriot President Nicos Anastasiades, right, next to Special Adviser to the United Nations Secretary-General on Cyprus Espen Barth Eide, 2nd right, and Elizabeth Spehar, Deputy to the Secretary-General's Special Adviser on Cyprus, 2nd left, during the Cyprus Talks, in Mont Pelerin, Switzerland Sunday, Nov. 20, 2016.
The Turkish Cypriot leader Mustafa Akinci (R) holds a meeting with the Greek Cypriot leader Nicos Anastasiades (not in image) in Mont Pelerin, Switzerland, Nov. 20, 2016.
Burcu said the Turkish Cypriot offer for territorial adjustments was to have 29.2 percent of the island.
Cyprus has been divided into two since 1974 after a Greek coup spurred Turkey to send forces to the northern parts of the small Mediterranean state.
Seen by experts as the last best chance to reunify Cyprus, the make-or-break discussions in Switzerland could lead to a multi-billion-euro deal or scupper prospects of solving one of the world's longest-running political problems.
The Turkish invasion saw thousands of Greek and Turkish Cypriots displaced.
Territory has been at the heart of the talks, since any peace deal would involve a redrawing of existing boundaries, resulting in some members of both communities being ousted from their current homes.
Although the two leaders are said to have come close to agreeing the amount of territory that should be run by the Turkish Cypriot government, there are still disputes over which towns and villages should be included.
If a deal could be reached on territorial changes, negotiators are expected to announce a date for a final summit between the Turkish and Greek Cypriot leaders and three other states involved in the process: Turkey, Greece, and the United Kingdom. A statement at the conclusion of talks this month said that "significant progress has been achieved", without providing details.
Kidd said Britain was willing to help organize a conference on security - the next hurdle to overcome once territory is settled. Only Turkey recognizes a Turkish Cypriot declaration of independence and maintains some 35,000 troops in the north.
Anastasiades and Akinci have been among the most outspoken proponents of a deal, but any breakthrough must be put to a referendum in their respective communities.
But important obstacles remain, including Turkish military intervention rights that Turkish Cypriots insist are vital to their security and that Greek Cypriots reject as a threat.