In case someone else has the same issue as Oscarguitar experienced.
I had the very same messages: "Fuel Injection System" and "Trans Fail Safe".
This happened after I had a flat battery coming back from vacation.
I left the charger of my Maglite connected....
Went to the dealer, told him about the "Fuel Injection System" message and he told me it would be an expensive one.
To diagnose the issue it would take 1:30 hour (@ €120/hr) to read out the car with their computer.
As I purchased the "BMW USB OBD Diagnostic cable INPA Ediabas DIS v57 SSS v32 Progman GT1" a while ago to get rid of an airbag light I installed the program again and used the INPA diagnosis program to clear the error codes.
Messages disappeared and a few days later they're still gone.