The Italian FA will try and persuade Antonio Conte to return as manager of the national team at the end of the season.
The Azzurri fired Giampiero Ventura after they failed to qualify for the World Cup for the first time since 1958.
Chelsea boss Conte still has 18 months to run on his current deal.
And Italian FA president Carlo Tavecchio admits he'll have to wait until the end of the season before he can attempt to lure Conte back to his homeland.
"Allegri and [Roberto] Mancini? You're getting warmer. Conte? Fire," he said.
"We're looking for the best. They already have commitments until June from a contractual point of view.
"Then when we get to June, who will be free? The ones are Ancelotti, Conte, Allegri, [Claudio] Ranieri and Mancini. This is the truth of those available."