The agreement will represent the Turkish Prime Minister, the President of the European Council Donald Tusk on Friday before the Council meeting, wrote a Bettel "Twitter".
The proposed plan involves sending all the illegal immigrants arriving in Greece from Turkey, back.
Instead, as expected, the EU can offer Ankara financial aid and visa-free access to Schengen countries.
German Chancellor Angela Merkel warned Turkey that should provide international standards for the protection of all refugees.
According to her, the relocation of refugees from camps in Turkey to the EU under the terms of the transaction will start in a few days after the first illegal migrant will return to Turkey from Greece.
On the verge of international law
But, said Merkel, the EU should be ready to return illegal immigrants to Turkey at a rapid pace, to stop a new wave of illegal immigration before the new system will work.
Lithuanian President Dalia Grybauskaite warned that the plan to return migrants to Turkey is on the verge of international law and to realize it will not be easy.
Turkish Prime Minister Ahmet Davutoglu, in turn, warned that Turkey is not going to turn into an open prison for refugees.
In order to avoid accusations of violating international law with the return of migrants to Turkey, EU leaders discussed the possibility of providing assurance that every applicant for asylum in Greece will be discussed.
French President Francois Hollande warned that he cannot guarantee a "happy ending" in search of a solution to this problem.
Promises and doubt
Initially, the EU offered for each illegal Syrian migrants, who made their way into Greek territory, to resettle in the EU, a Syrian residing in the refugee camp in Turkey.
Thus, the EU hopes to discourage migrants desire to try illegal means through smugglers and threat to life to enter into European territory.
Were also considered a proposal to double the proposed last year, the financial aid of Turkey to expedite the return of migrants.
But since the original proposal, which was expected to press Turkey, have been cut. Now there are no expectations of a financial package, and granting Turkey membership in the European Union and a visa-free regime with the EU is furnished with 72 conditions that must agree Ankara.
Several countries-EU members expressed their doubts about the feasibility of such proposals Ankara in connection with the persecution of Turkish journalists, academics, and political dissidents.
The immigration crisis started in Europe last year. Only 2015 applications for asylum in Europe has filed more than a million people.
Most of them came from North Africa and the Middle East, escaping from armed conflict.
Many refugees on the way to Europe passing through Turkey. From there, migrants moved by sea to Greece, and then begin the path deeper into the continent in highly developed, in their opinion, the country.