They are not the same company. Most countries require any company doing business in the country (ie selling and making money) incorporate a domestic company. Some countries allow for this company to be wholly owned by a parent company. Others may not or have some restrictions apply.
Vodafone in India is a partnership between Vodafone group and a local Indian company. So it is not the same company.
This doesn’t mean that the India based company couldn’t offer some special deal for roaming. But they’re really not forced to.
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