One problem related to engine overheat has been reported for the 2010 Mini Cooper. The most recently reported issues are listed below.
Engine seemed to be lacking power intermittently driving to work. Felt something was wrong, but no indicator lights displayed so I continued driving. Noticed heater began blowing cold air, yellow warning light came on indicating engine was beginning to overheat. Within 10 seconds, red warning light replaced the first light (engine overheating!). Continued on until I could safely stop. Called wrecker to take to repair shop. Found coolant & oil had exploded from engine with visible crack in the plastic housing. Thankfully, car was still under warranty. Mini dealership honored the warranty. Stated the vacuum pump had failed causing catastrophic failure of the entire engine. Engine is being replaced.