When I lived in Austria and came here to the US I carried insurance that I had to buy in Austria. If memory serves me right, I did buy it through the travel agency. I had to use it quite a bit, as I was here on some "sports business" that involved broken bones, I had no trouble with medical being covered through the insurance.
You may also want to contact a Swedish embassy here in the US, they will be able to direct you.
If you plan on riding here, don't do it without medical insurance...actually, I wouldn't travel without some sort of travel insurance coverage, period.