Right as I understand it, that format Griff put up is correct. They are one off games and the scores are added up on aggregate to see who wins (us or France). The winner of the Fev vs French champions game will select a champion of Europe, if you like, obviously discounting SL teams.
ESO - Apparently the French season finishes on May 12, so I would assume this tournament would be the week after. Which works for me as I get back from my holiday on May 13