Roma, along with Juve the only other team with a perfect record in Italy's top flight, thanked Miralem Pjanic's free kick two minutes from time for all three points in a 2-1 win away to Parma.
Inter Milan moved up to third thanks to a 2-0 home win over Atalanta while Sampdoria's solid start was given a boost by a 2-1 home win over Chievo which left Sinisa Mihajlovic's men fourth.
"The team was solid tonight, despite us changing a few players," Juve coach Massimiliano Allegri told Sky Sport.
Allegri, who recently replaced current Italy coach Antonio Conte, added: "I've inherited a well organised team, but our squad can and must improve further."
Vidal gave Juve an 18th minute lead from the penalty spot after Roberto Pereyra's shot came off the arm of midfielder Emmanuel Cascione.
Just after the half hour Llorente spun on Patrice Evra's low drive only to send his effort just wide, although it was Giovinco who came closest to adding Juve's second on three separate occasions.
Juve finally settled their nerves in the 64th minute when Vidal had time to control on the edge of the area before beating Leali with a precision strike -- another reason why the Chilean is reported to be a target for English giants Manchester United.
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