Corsi and Roma director Antonio Tempestilli exchanged words during the game, which continued afterwards in the dressing rooms and led to security interviewing the pair, along with Conti and Empoli official Salvatore Lodi.
Spalletti blasted Corsi for his behaviour after the match, barking: "The president of Empoli always does this. He is in the dressing room acting like a big kid. Conti was right to respond.
"It's been happening for three years, the same thing. If someone has reacted to him in the locker rooms, then that person has done well."