The pair had to be separated by players and staff at the end of Milan's win against Parma.
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Gazzetta.it says the frustration for Conceicao stemmed from a Lazza concert at the Forum in the days before the match.
In addition to the former captain, there were, documented by a photo on social media: Ruben Loftus-Cheek, Theo Hernandez and Francesco Camarda.
Their presence angered Conceicao, who wants to see his players fully focused on their work at this stage in the season.
Conceicao also didn't appreciate Calabria's reaction to his substitution, the bottle thrown far away and a few blows to the bench.