Substitutes Carney Chukwuemeka and Noni Madueke snatched victory for the Blues at the end of a dramatic second half in which the home fans threatened to turn on manager Mauricio Pochettino.
The hosts led comfortably at 2-0 until Axel Disasi scored a comedy own goal from 35 yards out to breathe life into the tie in the 51st minute.
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