score:7
It sounds like you're looking for raclette:
https://en.m.wikipedia.org/wiki/Raclette
The dish originates from the Swiss canton of Valais, not far from Geneva, which means the dish is quite common there. For the locals it's a winter dish, but there are quite a few (somewhat touristy) restaurants that serve it all year round, like this:
http://www.aubergedesaviese.ch/
Plenty of raclette/fondue places in Paris as well, just Google for "raclette Paris".