Mihajlovic, 51, guided Bologna to a 12th-placed finish in the Italian top flight last season despite being treated for leukaemia.
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Bologna raced to a two-goal lead in five minutes and were pulled back to 2-2 before a stoppage-time goal gave them a 3-2 win over Lecce.
Atalanta took their Serie A tally to 95 goals, the highest by any side in a single season for more than 60 years, when they beat Bologna 1-0.
Algerian midfielder Ismael Bennacer scored his first Serie A goal as a rampant AC Milan thumped Bologna 5-1 to maintain their recent form.
Bologna heroes Musa Juwara and Musa Barrow are the tip of the iceberg regarding young Gambian talent, Scorpions coach Tom Saintfiet tells ESPN.
Gambia striker Musa Barrow netted an equaliser 10 minutes from fulltime as unlucky Bologna held Napoli to a 1-1 home Serie A draw.
Bologna's Musa Juwara and Musa Barrow scored in the last 20 minutes as the 10-man visitors hit back for an unlikely 2-1 win at Inter Milan.
Cagliari forward Giovanni Simeone scored for the fourth game in a row to give his side a 1-1 draw at Bologna on Wednesday.
Bologna pushed Sampdoria deeper into Serie A trouble on Sunday as they handed Claudio Ranieri's side a third 2-1 defeat in eight days.