I had an interesting thing happen today. I sold my 2010 Prius back in September just before I got my Prime. The day I sold it, I removed it from my profile on the Toyota Owners web site. Today, I get an email from the local dealership (that I originally bought it from) that the service work done on my 2010 Prius is finished and I can pick it up. OK . . . . , so I contact the service manager and yes, they recorded the person's name on the ticket that brought the car in, but they still had my name and email address listed on the vehicle. I asked him if the Toyota owners site info didn't trickle down to the dealer. He said no. If you sell your vehicle, be sure to notify the dealer you bought if from. What the heck?
Many times on this site I have reminded folks that the dealer is an independent franchisee of Toyota, not part of the corporation. This seems to be another example.
I don't know how many owner databases exist but I still get the occasional recall reminder for the 2006 Prius that was totaled in 2009. A computer never forgets.
I thought recalls worked based on state vehicle registration databases. At least, that is what Toyota sold me early last year when I wanted to file an address change and was concerned about my Corolla air bag recall.
I suppose I was surprised since out of all the new vehicles I've owned and sold since the 70's, this was a first. Many different dealers.
I get phone calls about my warranty being expired and I "need" their extended warranty. I go on to tell them I no longer have that car and they ask "oh?" "what are you driving now?" That's when I hang up and promptly go to my Google voice website and block their number.
Those are just third party companies that bought an old list. I still get snail mail for offers for a refrigerator I scrapped several years ago. In fact, I scrapped its successor over a year ago.
You should let them go on with their spiel and tell them you are interested in purchasing the warranty. Then just when they ask for your credit card number say to them "Does it matter if I don't own the car anymore, actually I'm not sure who owns it now". I'll bet they will have no idea what to do and will have to get their supervisor, then you can have the same fun with the supervisor, telling them you still feel somewhat responsible for the car and you would hate to see the current owner have to pay for repairs.
