The Italian Ministry of Foreign Affairs negotiates bilateral and multilateral agreements with foreign Countries. As a result scholarships are offered to foreign citizens and Italian citizens resident abroad (IRE) by Italy and to Italian citizens by other Countries.
The rules and regulations regarding scholarships may be found on the site of the Italian Ministry of Foreign Affairs.
For Italian citizens:
https://www.esteri.it/en/opportunita/borse-di-studio/di_studio/
For foreign citizens and IRE:
https://www.esteri.it/en/opportunita/borse-di-studio/per-cittadini-stranieri/