Can I purchase Apple Care for my Apple Watch after it expires?
can I purchase coverage for my iWatch even after original apple care coverage has expired?
[Edited by Moderator]
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See the information in Extend your AppleCare+ coverage - Apple Support including the following from that support document:
Purchase the new coverage within 30 days after your original coverage ends. To find out if you can purchase the new coverage, go to mysupport.apple.com and follow the onscreen instructions. The new coverage automatically renews until canceled.