The vehicle was driven 30 miles and parked at 9am weather was in the 30s-40s F. There were no check engine light, warning lights or abnormal readings on the gauges during the commute. At approximately noon, the vehicles was started and idled for approximately 20 min, it was not driven or moved from the parking spot, the car did not reach full operating temp. Smoke with a burnt plastic and electrical odor was noted emanating from under the hood while parked idling. The car was immediately shut off and exited. The driver went inside to get help. After returning to the vehicle in approximately 5minutes it was fully engulfed in flames. The fire department came to put out the fire. The vehicle is a total loss. The fire damaged adjoining vehicles and the property where it was parked. The vehicle was towed back to my residence where it remains for evidence. Upon review of BMW recall 24v-608 i performed an inspection of the water pump electrical connection plug and identified there is evidence of an electrical short on the plug which appears to have burnt through the connector prior to the major engine compartment fire. I have contacted BMW to file a complain and have followed up multiple times with the point of contact identified to me by BMW, but have been unsuccessful to date to establish communications with the BMW representative.