The Check Engine Light may illuminate and/or a lack of power may be noted due to a failed high pressure fuel pump. BMW has released a service bulletin regarding this matter, the suggested repair is to replace the failed high pressure pump.
Car Problem Reports
BMW 335i High Pressure Fuel Pump
BMW 335i Problem
Model Year Affected: 2007
Average Mileage: 45,000 mi (20,000 mi - 70,000 mi)
Visitor, 2007 BMW 335i, 70,000 mi
repeated fuel pump failure that requires replacement until the replacement fails.
Vehicle lost power. Dealer replaced high pressure fuel pump. I have been told that there was a bulletin on this and that I can expect the replacement pump to fail again in the twin turbo engine.
Visitor, 2007 BMW 335i
High Pressure Fuel Pump