How do I claim back healthcare costs in France?

I had to have a blood test for a long and complicated reason which I won't go into now but it ended up costing me €68! I know that the French healthcare system reimburses people around 70% of the costs but am I also eligible even though I am not French? Also I don't have French health insurance, just the year abroad insurance I took out before I came here, can I claim on that instead? On my policy it seems to say I can but not until I'm back in the UK permanently. Also at the clinic they asked for a 'carte vitale' which I don't have, but on one of the websites I looked at it said that my EHIC card is an equivalent of a carte vitale, so can I use this to claim back the cost? This is so so confusing and really not what I need right now. I actually miss the NHS!