No. Intellectual Property Rights are territorial in nature and one has to individually approach each country where they wish to obtain a right in that Country/ Jurisdiction.
Depending on the type of Intellectual Property, while few can be renewed continuously before expiry, some fall into the public domain post of the expiry of the term.
One can file a suit before the Court of competent jurisdiction to obtain an Injunction Order (Temporary Restraining Order), besides also seek damages and also ascertain prospects of other available civil and criminal remedies in India.