Finnish higher education institutions offer a range of scholarship options for those non-EU/EEA students who are required to pay tuition fees. The kinds of scholarship available and any tuition fees you are expected to cover will depend on the institution and the degree programme in question.
Remember that in addition to tuition fees, you are also expected to cover your living expenses.
Doctoral level scholarships
In Finland, tuition fees are not charged for doctoral degree programmes. National scholarship schemes (such as EDUFI scholarships) for doctoral level studies and research are still available, though. Find more information on the Finnish National Agency for Education website.