Can a foreign company hire Indian employee to work remotely?

I’m not talking about companies like Meta, Google or companies that have their branch offices in India. Even Turing has registered India entity to pay employee salaries.

For example, take Miro. They have offices in Amsterdam but they don’t have a registered entity/office in India. Can companies like those hire Indian workers and make them work remotely from India? If yes, how would they pay salary? They won’t have official payroll here and without a registered entity they can’t pay PF. How does this salary thing works in this case? And do we have to pay taxes for both the countries?

Reason for asking: I was watching “Silicon Valley” and there was an episode where Pied Pieper hires 3 engineers from India, Pak and Europe without having any official offices in those country. How would they pay their salaries? Also, read somewhere on Medium that few people are working this way and getting paid $ equivalent of their salaries. If anyone knows anything about this kindly share info on comments.