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Inter were not at their creative best in the first period, although they were able to take a lead into the break thanks to Biabiany, who followed up neatly on a rebound from Stevan Jovetic's shot.
Roberto Mancini's side were improved after the interval and they found a second goal in the 53rd minute, this time as Adem Ljajic combined superbly with Icardi in order to hand the striker an easy finish.
The visitors might have snatched a route back into the game not long after, only for Nicolas Castillo to be denied by a standout interception from Murillo inside the area.
Inter's Biabiany should have earned himself a brace late on but for a block on the line, before Murillo returned three minutes from time to cap off a memorable personal display with a third goal for the hosts.
The scoring action was not over just yet, however, as Inter substitute Marcelo Brozovic added a fourth for La Beneamata during injury time and just minutes after being introduced, leaving the final score at 4-0.