"I hope we will have a relatively calm summer in the Aegean, without new challenges," Foreign Minister Nikos Dendias said on Sunday.
He added that Greece does not have illusions about its relations with Turkey.
Dendias pointed out that both the prime minister's meeting with the Turkish president and his contacts with his Turkish counterpart allowed "the ice to break", but no significant progress was made in their relations.
"Our positions remain diametrically opposed. Our difference has been and still is: Turkey refuses to respect the basic rules of international law, the law of the sea, good neighbourly relations and to withdraw the threat of war against Greece," he said.
Regarding Cyprus, Dendias stated that countries must be on constant alert.
He also noted that the Prime Minister made it clear that Greece rejects any proposal that does not fall within the framework set by the decisions of the UN Security Council, ie bi-communal, bi-zonal federation.
Turkey is seeking to create a two-state solution to Cyprus, something that has not received any international support, including the UN.
The position of a bi-zonal federation is shared by all UN states, with the exception of Turkey, he pointed out.
Dendias noted that unfortunately both the Turkish stance and the stance of the Turkish Cypriot community leave no room for optimism.