Guterres had met President Nicos Anastasiades and President of the Turkish Republic of Northern Cyprus Mustafa Akinci in the German capital for "informal, trilateral" talks of reviving long-stalled peace negotiations.
Turkey's FM Mevlut Cavusoglu, who is in the Turkish Republic of Northern Cyprus, says the Greek Cypriot administration does not intend to share the island's natural resources.
Turkish Cypriot President Mustafa Akinci proposed to the internationally recognised Greek Cypriot government that they cooperate in the search for gas off the divided island.
Both sides exchanged views on the issue of extending the jurisdiction of founding states, in a possible solution to the Cyprus issue.
Foreign Minister Mevlut Cavusoglu says Turkey wants result-oriented negotiations on Cyprus, adding that they have "no time or energy for years of negotiations."
The opening of the Dherynia border post in the east and the Lefka crossing in the northwest is the first such step to end the 44-year frozen conflict between Turkish Cypriots and Greek Cypriots in eight years.
Turkey reminds Greece of a 1995 parliamentary declaration in which Ankara authorised action, not excluding military action, to safeguard Turkish interests in the Aegean.
UN secretary-general’s personal envoy Jane Holl Lute held separate meetings with Turkish Cypriot President Mustafa Akinci and Greek Cypriot leader Nicos Anastasiades to test possible restart of reunification talks.
Nicos Anastasiades won re-election as Greek Cypriot leader since voters gave a thumbs-up to his record in containing an economic meltdown in 2013 and conducting abortive peace talks with the Turkish Cypriots.
The two leading candidates to emerge from Sunday's election will have to seek support from the seven other candidates ahead of the February 4 ballot.
Turkish and Greek Cypriots remain in limbo as both sides brainstorm ways to proceed with suspended peace talks, with the fate of their island resting on the shoulders of one undecided man.
The Turkish Republic of Northern Cyprus voted for a new parliament and government after months of political instability on January 7. The results show a sea change in thinking among the populace.
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