One problem related to engine cooling system has been reported for the 2002 BMW 330. The most recently reported issues are listed below.
My son parked his 2002 BMW 330xi in a parking lot early am to sleep. It caught on fire in approximately one and a half hours while idling, killing him. He was laying down in front seats. Event was caught on surveillance camera, no foul play was detected. Claimed to be "accidental fire" by police report. Noticed 2001 BMW 3-series had major recall for same type of event with failure of cooling fans.