AppleCare + India on new 13 pro max US version

No.

AppleCare+, like the original warranty, can only be purchased in, and is only valid in the country where the device was originally sold. In this case, the US.

No. There has never been and "international warranty" on any iPhone.

The warranty is only valid in the country where the device was originally sold.

nirmal135 wrote:

Doesn't Apple provide international warranty on this product.

There are no guarantees that the warranty will or won't be honored in another country. The official message is that they reserve the right to deny warranty or AppleCare+ service in another country.

Legal - iOS Warranty Document Us - Apple

IMPORTANT RESTRICTION FOR iPHONE, iPAD, APPLE TV and HOMEPOD SERVICE.

Apple may restrict warranty service for iPhone, iPad, Apple TV and HomePod to the country where Apple or its Authorized Distributors originally sold the device.