Leonardo Blanchard scored a 92nd-minute equaliser for Frosinone to deny Juventus their second win of the season.
After a goalless first half, the Serie A champions started the second half as they finished the first, by continuing to pile pressure on the Frosinone goal.
Zaza looked lively after the break, as the Italian forward hit the crossbar minutes after the restart, with his teammates unable to poke in the rebound.
However, it didn't take long for Zaza to open his account, as his shot inside the box took a lucky deflection past Nicola Leali in the Frosinone net.
The Old Lady looked to double their lead quickly after, as Zaza came close to grabbing his second but it was Leali that came out on top, stopping the striker's shot.
The Frosinone goalkeeper kept his side in the game with a string of fine saves, keeping the score at 1-0.
Despite Leali's efforts, his teammates lacked an attacking edge as they were pinned in their own half by the home side.
Paulo Dybala made a cameo appearance late on and almost grabbed himself his third goal in a Juventus shirt but was denied again by the man in between the Frosinone sticks.
However, Juventus were punished for all of their missed chances, as Blanchard rose above Pogba from a corner to head past Neto in the Juve goal, equalising in the second minute of time added on.
The equaliser denies the home side their second win of the season, as they lurk in the unfamiliar territory of 13th place in the Serie A.
The draw keeps Frosinone bottom but Blanchard's equaliser gives his side their first point of the campaign.