Roy Hodgson has yet to see his side win and here they crashed 5-3 at the Memorial Stadium after n the third-round replay finished 0-0 after 120 minutes.
A muddy pitch sapped the match of much quality and the Premier League strugglers then had defender Dejan Stefanovic sent off for a second yellow card for a late tackle on Chris Lines in extra-time.
Jimmy Bullard missed Fulham's first spot-kick in the shoot-out but the Pirates were impressive from 12 yards scoring all five with Craig Disley blasting home the crucial fifth.