Paulo Dybala scored a hat-trick as Juventus came back from 2-0 down to take all three points.
A comical own goal from Miralem Pjanic and a VAR system-led penalty saw Genoa score twice within the first seven minutes.
Dodgy defending her last season saw Juventus go three down by half-time.
But Dybala hit back with two before half-time — the second another penalty awarded via the VAR system — and a breakaway third in injury time.
Juan Cuadrado netteded a sensational third.
Gianluca Lapadula contributed an early contender for miss when heading over from four yards with an open net at the death.