The agreement came during a phone call Sunday where the two leaders discussed a “safe zone” east of the Euphrates River in Syria from which Kurdish fighters would be withdraw, Ankara reportedly announced.
The White House confirmed in a statement that the two leaders spoke on the phone but did not respond to a request for comment on whether Erdoğan would be coming to the U.S. for a meeting.
Conflict between the U.S. and Turkey over Kurdish fighters in Syria has been brewing for years.
America is allied with the Syrian Kurdish YPG militia, which the U.S. sees as a vital collaborator to defeat the Islamic State in Iraq and Syria (ISIS).
The group is a top enemy for Turkey, which sees it as an offshoot of the PKK, a Kurdish separatist movement based in Turkey.
Victories against ISIS have left some territory in Northern Syria, near Turkey, under the control of Kurds.
Turkey and the U.S. met several times in the last months to find a resolution for the tensions.
Erdogan reportedly expressed frustration on the Sunday call with the slow place U.S. military and security officials have taken to implement the reported agreement between the two countries that would establish the safe zone.
This report was updated at 10:55pm