Fiorentina coach Sinisa Mihajlovic has been tipped to become the new Inter boss if Leonardo leaves the club to occupy a director's role at Paris Saint-Germain.
Sky Sport Italia and Il Corriere dello Sport both claim Mihajlovic is in pole position to coach the club he acted as assistant for between 2006 and 2008 during Roberto Mancini's spell in charge.
Marcelo Bielsa reportedly turned down the role after a conversation with president Massimo Moratti regarding a move to San Siro, and earlier Alberto Gilardino said 42-year-old Mihajlovic was ready for Inter.
The fomer defender is seen as a candidate to replace Leonardo, who seems destined for France after Moratti said he is looking for a coach, not a director.
But the president, played down the reports over the Serbian coach, even though he has already admitted the search for a new man is on.
"Mihajlovic has a contract with another club, and so we cannot consider it," he told reporters, before adding: "You are all too curious."
Among the other names been linked are former Palermo coach Delio Rossi, and ex-Genoa man Gian Piero Gasperini.