Davutoğlu met with Moratinos as part of his talks in New York on the sidelines of the meetings of United Nations General Assembly.
Diplomatic sources said Davutoglu and Moratinos also discussed the Alliance of Civilizations and the two ministers reportedly described the project as one of the most successful initiatives of the United Nations.
Davutoglu met with his Austrian counterpart Michael Spindelegger who said his country did not set obstacles before Turkish membership and "shut the door on Turkey."
The Turkish foreign minister underlined that a chapter on energy issues has yet to open in Turkey's EU accession negotiations despite the Nabucco pipeline project which starts in Turkey and ends in Austria.
Davutoğlu met with his Montenegrin, Libyan, Bahraini, Costa Rican, Georgian, Ethiopian and Eritrean counterparts as well on the sidelines of the UN meetings.