Two problems related to engine burning oil have been reported for the 2007 BMW 328. The most recently reported issues are listed below.
Car smokes heavy white smoke if you take off fast. Car then rattles, shakes, engine light comes on and engine shakes a lot. You shut off the car, wait 10 seconds restart and it is normal until next time you give it a little to much gas, while in motion. Car burns a quart of oil about every 3 thousand miles. Happens daily.
The contact owns a 2007 BMW 328xi . The contact stated that the engine failed. The vehicle was taken to a dealer where it was diagnosed that the engine valve cover gasket failed causing the engine oil to leak on the catalytic converter burning the oil causing the smoke to blur the windshield. The vehicle was not repaired. The manufacturer was notified of the failure. The approximate failure mileage was 48,000.