Brighton thought they had netted a 90th minute winner when Solly March cracked home a fine low effort from 20 yards that whistled beyond home stopper Tom King.
Newport are never a team to give up in the FA Cup and they equalised on 96 minutes when goalkeeper Jason Steele totally miss-judged a cross from the right and the ball hit Adam Webster and went into his own net.
Steele however redeemed himself in style with four cracking saves in the penalty shoot-out and then Webster tucked home the winning spot kick.
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Steele however redeemed himself in style with four cracking saves in the penalty shoot-out and then Webster tucked home the winning spot kick.