Zungu started in midfield for the home side, while Neymar nor Kylian Mbappe featured for the French champions.
Amiens raced into a fifth-minute lead after Serhou Guirassy got in behind Thiago Silva to fire straight through Keylor Navas following a delivery from Gael Kakuta.
An overload on the byline from PSG caused a few nervy moments for the hosts moments later, but Julian Draxler's cross-cum shot was blocked to safety by Regis Gurtner.
Kakuta, who was involved in the opener, gave his side a second goal a minute before the half-hour mark with a stunning finish beyond Navas.
Amiens upped the ante five minutes to halftime and hit a third after Fousseni Diabate got into advancing territory to finish in off the right-hand post.
The defending champions and current league leaders reduced the tally just before the break as Ander Herrera volleyed home from a corner.
A double substitution following the start to the second half saw Silva removed for Marquinhos and Idrissa Gueye for Marco Verratti.
PSG launched the comeback in earnest as Tanguy Kouassi got on the end of Draxler's corner to head home his first league goal of the season following the 60th minute.
Kouassi completed his brace five minutes later when he powered over Gurtner to turn home Angel Di Maria's corner.
Amiens battled to sustain the onslaught, but Mauro Icardi managed to open space in the six-yard area to tap home a cross to complete the turnaround after 74 minutes.
The home side pushed forward in desperate search of the equaliser and right at the death, Guirassy found space in the middle of the area to fire past Navas, bringing the contest to a thrilling stalemate.