"Agreement on EU position, @eucopresident will present it to Turkish Prime Minister before our EU Council tomorrow," Xavier Bettel wrote on Twitter, referring to European Council President Donald Tusk.
A senior EU official said it was "not a deal but a common position" that would allow negotiations to move forward, adding that Tusk had "understood everyone's red lines".
Talks are due to take place later Friday between Tusk and Davutoglu on a possible accord that would include measures designed to stem the flow of migrants coming to Greece from Turkey.
