Is it feasible for me to study, get a work visa, and eventually settle down in any country that offers these opportunities in Germany/Italy?

Yes, it is feasible for you to study, obtain a work visa, and eventually settle down in countries like Germany and Italy, as both offer structured post-study work and settlement pathways.

- Germany: 18-month post-study job seeker visa, with options to transition to a work permit or EU Blue Card. Permanent residency is possible after 2 to 5 years of employment and meeting residency requirements.
- Italy: 12-month post-study job search permit, convertible to a work permit. Permanent residency may be possible after 5 years of legal residence.

Your chances improve if you work in your field of study and gain local language skills.