Delfouneso was then handed the chance to get his own name on the scoresheet but the striker failed to beat Amos after finding space inside the box.
Sone Aluko was denied a penalty after appearing to be pushed inside the box from a corner but the wide midfielder responded superbly by driving a 25-yard effort past Matthew Gilks to level the scores before half-time.
It was Aluko who turned provider in the early stages of the second period, with his cross allowing Stephen Quinn to finish from close range to give Steve Bruce's side the lead.
Abdoulaye Faye should have extended the home side's lead moments later but he failed to hit the target with a free header from 12 yards out.
Blackpool's comeback was complete seven minutes from time when Phillips combined with fellow substitute Dicko to allow the midfielder to snatch the victory late on.