Pompey suffered a penalty shoot-out defeat to exit the Carabao Cup in the second round at Fratton Park.
Christian Saydee opened his account for John Mousinho's side in the second half to cancel out David Ajiboy's Peterborough opener.
The visitors were then reduced to 10 men after Charlie O'Connell was dismissed, but the Blues were unable to take advantage.
And although Ryan Schofeld made a smart save in the shoot-out, two Pompey misses meant it was Posh who progressed to the next stage.
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