FYI the original owner must purchase the extended warranty before the car is transferred to the new owner. I would highly recommend the extended warranty to any prospective buyer. It's nice not having to worry about any expensive repairs and the service centers are really great about taking care of any issues you may find; I just had a sunroof and rear taillight leak repaired last week free of charge
I'm almost positive they changed that. I THINK the current owner can buy the warranty as long as it is eligible. I believe the chance was made about 4 months ago.
EDIT: Yes, the Tesla web page changed the verbiage and now the owner, not just the original owner, can buy the extended warranty. Only exclusion now is that you can't buy an extended warranty if you buy your car from a dealership. Has to be from Tesla or a Tesla owner.
Can anyone purchase an Extended Service Agreement?
Owners (excluding 3rd party dealers and vehicles purchased from a 3rd party dealer) with Model S or X vehicles subject to the New Vehicle Limited Warranty which are still within the eligible purchase period can purchase the Extended Service Agreement.
What is the eligible purchase period for Tesla Extended Service Agreements, and what do they cover?
You may purchase the Extended Service Agreement no later than 30 days or 1,000 miles (1,600 km), whichever occurs first, past the expiration of your New Vehicle Limited Warranty. The Extended Service Agreement covers the repair or replacement necessary to correct defects in the materials or workmanship of most parts manufactured or supplied by Tesla during the coverage period, excluding the vehicle’s lithium-ion battery and drive unit, which have their own separate warranty.
Warranty Info