If you do not have a passport, you cannot get a visa to enter Greece, so you cannot obtain residency.
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How can stateless persons obtain Greek Golden Visa?
Can stateless persons get a Golden Visa in Greece through investment and later apply for naturalization? How is the process different?
Answers
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It is the exact same process.
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If you have a passport and can issue a legal visa to enter the country, the procedure followed is the same as for any case of a residence permit by investment.