Amiens, who are within the relegation zone, raced into an enormous lead once Gael Kakuta set up a Serhou Guirassy opener before scoring a superb second himself – with Fousseni Diabate adding a 3rd.
Ander Herrera volleyed in, Tanguy Kouassi scored 2 headers and Mauro Icardi broached home to make it 4-3 but Guirassy’s late goal saved Amiens.
PSG, who visit Borussia Dortmund within the Champions League last sixteen on Tuesday, left out Kylian Mbappe and Neymar however named an otherwise strong team.
Manager Thomas Tuchel had already walked down the tunnel to arrange his half-time speech after witnessing a first-half demolition when Herrera, who was playing at right-back, force one back.
PSG created 2 changes at half-time, bringing on Marco Verratti and Marquinhos, and dominated from then on.
Kouassi, a 17-year-old defender, scored his 1st 2 league goals from Julian Draxler and Angel di Maria corners and Icardi finished from Juan Bernat’s low cross.
But in injury time, Amiens reclaimed a sensational draw as Quentin Cornette picked out Guirassy within the centre to slot home.
PSG are currently thirteen points away from second-placed Marseille, visit jaunt Lille on Sunday, whereas Amiens stay in nineteenth position.
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