Genoa went into the game having tsacked Andriy Shevchenko on Sunday.
Vlahovic scored after the break, apologising to home fans as he celebrated.
Biraghi scored his second free kick of the match in the 69th minute, giving the Viola a 5-0 lead.
Then Lucas Torreira rounded off the scoring in the 77th minute as he made it 6-0.
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