The initial pulse to the fuel pump I think runs regardless of CPS. Without cps you won't get spark from my understanding.

To eliminate fuel control from the equation you can jump the relay once you confirm the live side of the relay has power I think that might be F51 unless that's just the control.

The control for the relay needs both power and ground. A lot of systems on E53 have always power and controlled by ground. See which fuel relay is and determine if part is missing.

Safety circuitry on most cars will kill fuel pump if SRS activated or flip over is detected. Was this car in an accident?

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2011 E70 • N55 (me)
2012 E70 • N63 (wife)