Hello, i have a 2006 F4i and the pump won’t prime. The pump works i tested it. Also jumped it from the molex where it plugs into the harness just to make sure all the wires were good. The FI light came on when i replaced the pump, it stays on solid even when i jump out the diagnostic port. I have power to all the wires coming out of the relay EXCEPT the thicker tan wire with no stripe. The FI turns off when you unplug the BAS and it comes on even when you bypass it with a jumper. Just trying to list all of my findings. Anythi helps, thank you very much.

 

Could possibly be the infamous Kill switch open circuit. Not sure what code that would give and if it would keep the FI light on.
Follow the fault tree below: