Turkish President Erdogan says country needs to draft a constitution that will meet the needs of the next century.
Ankara and Athens held 60 rounds of talks between 2002 and 2016 that they broke off without making progress in a dispute that has lingered for much of the past century.
The United States has hailed diplomacy between uneasy neighbours Greece and Turkey following a major earthquake, saying it is ready to assist the NATO allies.
"So let's meet, let's talk and let's seek a mutually acceptable solution. Let's give diplomacy a chance," Greek Prime Minister Kyriakos Mitsotakis has said.
Facing the growing reality that a confrontation with Turkey may end badly, Greece is making questionable defence procurement decisions that may already be too little too late.
Greek Prime Minister Kyriakos Mitsotakis' comments come ahead of an EU summit on rising Mediterranean tensions. Meanwhile, Turkey has called for the "immediate" disarmament of Chios island in the Aegean Sea.
Top American diplomat praises German efforts to reduce tensions via opening a door for dialogue and hopes "the military assets that are there will be withdrawn" for communication.
Doctors Without Borders (MSF) has condemned the Greek government decision to extend lockdown for migrant camps saying it is using the novel coronavirus pandemic as a pretext.
Greek prime minister says it is not an era of gunboat diplomacy and such understandings belong to other centuries.
Greek officials say housing must be secured for other vulnerable asylum seekers on the islands, many of whom "sleep under trees", giving the excuse to moving more than 11,200 people out of flats, hotels and camps on the mainland.
The swearing-in ceremony for Katerina Sakellaropoulou took place in an almost empty parliament, as part of measures taken to prevent the spread of the novel coronavirus.
It was the second fire at an installation built for migrants, after a reception centre was burned down by unknown perpetrators last Monday.
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