The high pressure pump of these common rail diesels (Bosch CP4) can fail while driving. The characteristic course is not gradual: a "Drivetrain fault" message appears on the dash, and within a few seconds the power is gone, on the motorway too. Afterwards the engine often cranks but will not start.
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What makes the repair expensive: once the inside of the pump wears, metal debris travels through the rail and contaminates the entire fuel system. At that point replacing the pump is not enough: the injectors, the rails, the tank and the lines go with it. That is the difference between a "pump replacement" and a "full system replacement" quote, that is what you should ask about.
The maker started a recall for this in the United States (NHTSA 21V586000, 2014 to 2018 328d / X5 xDrive35d / 535d / 740Ld / X3 xDrive28d). The same campaign did not run in Europe, even though the same pump works in the 320d/520d/X3 20d versions that are common right across Europe. The recall does not cover these cars.
What to check
- Ask whether there has ever been a "Drivetrain fault" message or a loss of power while driving
- Ask for the service history: if the high pressure pump was replaced, check whether the injectors and the lines were replaced with it. If not, the debris may still be in the system
- After a cold start listen to the engine at idle: irregular running or smoke is suspect