"Yesterday there was a meeting between the sub-commissioner Alessandro Costacurta, Azzurri team manager [Lele] Oriali and Roberto Mancini, who gave his availability to resolve his relationship with Zenit and to be Coach of the national team", Fabbricini told ANSA.
Roberto Mancini has reached an agreement to become the next Italy coach, according to Sky in Italy.
Gazzetta added that the former Manchester City boss was offered a two-year contract until 2020 worth €4 million (S$6.4million) a year.
If Mancini does take the job, it could signal a return to the national team for Mario Balotelli.
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Italy have been looking for a new boss since Gian Piero Ventura was sacked following their failure to qualify for this summer's World Cup in Russian Federation with Under-21 coach Luigi Di Biagio taking over the senior team on an interim basis.
Luigi Di Biagio took charge of the team for their friendlies against Argentina and England in March on an interim basis.
Zenit sit fifth in the Russian Premier League table and are in danger of missing out on Champions League qualification with two matches remaining, while Mancini's men lost to RB Leipzig in the last 16 of the Europa League.
As a coach, Mancini has enjoyed success in his native Italy with Fiorentina, Lazio and Inter Milan, winning three consecutive Serie A titles with the latter between 2006 and 2008.
Nantes coach Claudio Ranieri had been a secondary candidate.