I'm using an Elegant Theme (http://www.elegantthemes.com/preview/Envisioned/) and the middel sections (3 columns right under the slider, called Content Area 1, 2 & 3 in the ePanel) do not switch to French when I click on the French language switcher.
However, when I go on any of those actual page 3 pages, it does switch to French when I click on the French language switcher. So it appears the language links work from the pages, but NOT on the Homepage.
The website is http://www.Comunexim.com
I am not a developer or programer.