I typed the words "study medicine free" into a well-known search engine and the first hit gave some information about studying medicine in a European country starting with "B" without cost (if you are from the EU/EEA) and the third hit gave information about studying medicine in a European country starting with "N" without cost. This is the kind of skill a potential medical school might look for (using initiative) as a proxy for high grades.
In other European countries you can be sponsored through medical school through the armed forces (in return for a commitment to staying with them for a certain number of years afterwards).
A medical education is an expensive thing to provide so it might be understandable if a country wanted some sort of guarantee of how this would be paid back "in kind" if not financially.
What do you think about the value (not necessarily monetary) of a medical education? What would you intend to do once you had qualified? If you could describe what you were planning in terms of societal benefit for after you'd finished it may be that a medical school would consider offering a bursary or scholarship.
Christopher Cooper, Credential, added