It can be quite a surprise to owners of vehicles equipped with run-flat tires that many shops will not repair a seemingly innocuous puncture. Tires are the only thing touching the ground on your vehicle, so they are integral to safety. As such, sometimes situations that seem manageable, can become quite complex and even frustrating for the consumer.
There's conflict in the guidance offered by some vehicle manufacturers and tire manufacturers in relation to repairing run-flats. For example, BMW explicitly states in their owner's manual that repairing a tire isn't an option. However, one of the larger builders of run-flat tires, Bridgestone, does have a standardized inspection and repair process for their run-flat tires.
Which is correct? The tire manufacturers defer to the vehicle manufacturers. So in the case of run-flats on a BMW, repair isn't an option. The bottom line is you'll have to check your vehicle's owner's manual or with your vehicle manufacturer.
If your tire can't be repaired, tire shaving may be of interest to you to match the remaining tire's tread depths, especially on all-wheel drive vehicles. For additional information on tire shaving, read my previous post "Replacing Less than Four Tires on an AWD Vehicle."