As reported to the FAA. Reports are unverified, and codes are left as the FAA publishes them.
What was found
AIRCRAFT WAS NOT GROUNDED: LEFT FUEL TANK PUMP #1 LOW PRESSURE ECAM MESSAGE AND ASSOCIATED FAULT LIGHT ON CLIMB OUT, SELF-CORRECTED FIVE MINUTES LATER BUT RETURNED ON APPROACH BELOW 8,000 FT. DEFERRED ON MEL 28-04B FOR CONTINUED OPERATION. REPLACED FUEL PUMP WITH NEW IAW AMM 28-21-51, OPS CHECK GOOD.