Akinci and Anastasiades met with UN`s Special Adviser Espen Barth Eide at UN`s office in Cyprus.
Eide said Monday that both sides were expected to "go through a general exchange of views and to agree on the modalities for the structuring and frequency of the meetings".
UN Secretary-General Ban Ki-moon welcomed Friday the resumption of talks between the Turkish Cypriot and Greek Cypriot administrations, UN said in a statement.
"[Ban Ki-moon] calls on the leaders to seize this opportunity to achieve tangible progress towards a comprehensive settlement that would clearly benefit both Greek Cypriots and Turkish Cypriots," the statement said.
Peace talks were unilaterally suspended by the Greek Cypriot administration last October after Turkey issued an advisory on behalf of the Turkish Republic of Northern Cyprus for seismic research off the coast of Cyprus.
The island was divided into a Turkish Cypriot government in the northern third and a Greek Cypriot administration in the southern two-thirds after a 1974 military coup by Greece was followed by the intervention of Turkey as a guarantor state in Cyprus.
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