Juve have now conceded at least one goal in 19 consecutive league matches
AC Milan moved level with Serie A leaders Inter Milan Wednesday thanks to a Theo Hernandez-inspired 2-0 win over Venezia, while Juventus won their first match of the season at the fifth attempt, 3-2 at Spezia.
France international Hernandez laid on Brahim Diaz's opener and scored the other at the San Siro to move second-placed Milan onto 13 points alongside city rivals Inter, in a win which maintains an unbeaten record so far this season for Stefano Pioli's side.
Diaz opened up a stubborn Venezia side when he forced home Hernandez's volleyed cross in the 67th minute in a match in which up to that point the Rossoneri had been restricted to a handful of chances.
Hernandez then sealed the three points with eight minutes remaining when he collected the ball following superb play from fellow substitute Alexis Saelemaekers and lashed in his first goal of the campaign.
Milan are a point ahead of Napoli who travel to Sampdoria Thursday looking to maintain their 100% record, while Atalanta and Roma lurk behind in fourth and fifth respectively.
Way back in 13th are Juve, the 36-time Italian champions some eight points behind their Milan rivals following a hard-fought win at Spezia which at one point was looking like an embarrassing defeat.
Emmanuel Gyasi and Janis Antiste put Spezia ahead shortly after the break with two deflected strikes following Moise Kean's 28th-minute opener, the Italian's first goal for Juve since returning from Everton.
However substitute Federico Chiesa levelled midway through the second half with his first league goal of the season and in the 72nd minute Matthijs de Ligt struck the winner when the ball fell kindly to him from a Paulo Dybala corner.
It was a far from convincing performance though and Spezia could have levelled late on, with Wojciech Szczesny at his best to push away Giulio Maggiore's volley with five minutes remaining.
De Ligt has fallen down the pecking order and was only playing because Giorgio Chiellini wasn't fit.
Juve have now conceded at least one goal in 19 consecutive league matches, a trend that needs to change with Chelsea visiting Turin in a week's time.
Salernitana earned their first point of the season when they came back from two goals down to draw 2-2 at home with 15th-placed Verona.
Nikola Kalinic put the away side ahead with a deft first-half brace but Cedric Gondo pulled one back just before half-time when the ball dropped to him following Franck Ribery's free-kick.
Mamadou Coulibaly then struck the leveller with 14 minutes left to send a passionate home crowd wild, although the promoted outfit stay bottom of the league.
Promoted Empoli are 11th after getting their second win of the season 2-0 at Cagliari thanks to goals in either half from Federico di Francesco and Leo Stulac.
Milan 2 (Diaz 67, Hernandez 82) Venezia 0
Cagliari 0 Empoli 2 (Francesco 29, Stulac 69)
Salernitana 2 (Gondo 45+2, Coulibaly 76) Verona 2 (Kalinic 7, 29)
Spezia 2 (Gyasi 33, Antiste 49) Juventus 3 (Kean 28, Chiesa 66, De Ligt 72)