"This is a very important development," Davutoglu told a press conference at the Turkish House in New York after completing his talks in this city.
Davutoglu had held more than 60 bilateral and 10 multilateral meetings in New York last week.
The Turkish minister said that his interlocutors had asked Turkey to intervene in several crises in far-away regions and make positive contributions.
"This indicates how much Turkey contributes to global issues, thanks to its performance after it became a (non-permanent) member of the UN Security Council," he said.
Davutoglu enumerated the main topics as the Balkans, Middle East, Caucasus and Central Asia.
Also, Davutoglu said he met his Uzbek counterpart Vladimir Norov and defined Central Asia policy as one of the most important factors of Turkey's foreign policy.
Davutoglu said he discussed not only bilateral relations but also balances and strategies in Asia with the Uzbek minister.
The Uzbek minister would extend full support to Turkey's observer membership to the Shanghai Cooperation Organization, Davutoglu said.
Uzbekistan is actually holding the rotating presidency of the organization.
Davutoglu said he once more reaffirmed the importance Turkey attached to Uzbekistan's stability and welfare and said Turkey's support to Uzbekistan in both regional and global and international developments would continue.
"Turkey is closely monitoring developments in Central Asia, and Uzbekistan is also important for Turkey as a neighbor of Afghanistan," he said.
Davutoglu said Norov and he agreed to meet more often from now on, and would pay mutual visits to each other's countries.
Earlier on Tuesday, Davutoglu met UN Under-secretary-general for Humanitarian Affairs and Emergency Relief Coordinator John Holmes, and discussed Cyprus issue with Louise Arbour, the president of the International Crisis Group.
Holmes welcomed Turkey's assistance and aid to many world countries.
Davutoglu also received representatives of American Jewish Committee before he departed from New York.