After Leandro Trossard netted the only goal of an evenly-matched first half, Kai Havertz and Ben White scored two each after the break to earn the title hopefuls an emphatic win.
The drama did not end with the final whistle at the San Siro after AC Milan snatched a late win over Parma on Sunday, but manager Sergio Conceição brushed off his heated clash with Davide Calabria, blaming adrenaline and passion.