I have my European (Czech in my case) governmental health insurance, which covers me during my stay in France as much as how local people are covered by "securité sociale", which is 60% of medical expenses.
To get more coverage, one has to get so-called "mutuelle". However, the insurance companies don't seem to provide "mutuelle only" for people who are covered by insurance from their home country.
So: Is there any way how can I get a "mutuelle" without having to pay the basic "securité sociale"? I'm a PhD student in both Czech Rep. and France if that makes any difference.