Apple recommends you to purchase an AppleCare protection plan in your country of residence, implying the country where you'll be seeking repair services.
Where can I purchase the AppleCare Protection Plan?
Depending on the Apple product, the AppleCare Protection Plan is available at the Apple Online Store, Apple Retail Stores, and many Apple Authorized Resellers including many wireless service providers. Apple recommends that you purchase the AppleCare Protection Plan in your country of residence, because each AppleCare Protection Plan has terms and conditions specific to consumers in the country or region in which the plan is offered. Please see the AppleCare Protection Plan Terms and Conditions for complete details.
To answer your questions:
- Once I purchase the laptop from US and come back to India, will I be able to purchase AppleCare for this laptop here in India?
- If yes, will there be any restrictions on the AppleCare?
P.S.: The answers are based on information provided by Apple and from personal experiences.