This The Mentalist screencap contains
salon, séjour, chambre à l'avant, salle, salle de devant, chambre de famille, and chambre familiale.
There might also be
tanière, den, salle de dessin, salon, and parloir.
The writers and actors don't want those two to get together. In fact, they laugh at the fans that want them to. Which personally I find a bit rude, but I won't get into that. Anyway, their reasoning for them not getting together (at least right now) is "they have plus of a brother/sister relationship."
I'm sorry, but every time someone is trying to make an argument for why two people shouldn't be a couple, it's always either "they have no chemistry" ou "they have a brother/sister relationship." But I've never seen anyone deny Jane and Lisbon's chemistry, so I won't focus...