[missjellyfish]

Switzerland is not part of the EU, so different rules apply. As far as I know, a EU health insurance would have covered you (retroactively; as in: pay $800 and send the invoice + proof of payment to your insurance and you'd get reimbursed), but when traveling outside the EU it is always a good Idea to carry a travel health insurance with you that covers these.

[vinay427]

I think you may have misunderstood. I'm talking about having Swiss health insurance in Switzerland. The standards for health insurance and cost for treatment in "Europe" are not always lower than in the US as the parent commenter implied.