lucabarbetti on "[Plugin: Polylang] Problems with custom post types introduced by a theme"

Got it, elegant solution indeed. It doesn't seem to work for me though, I've followed all the steps, the plugin is recognized by WP and activated but it doesn't switch the page. Don't know...
Anyway, as a workaround in the particular case of Swatch, one could use the text widget instead of selecting a page because that area is 'widgetized', one widget per language as you explained before.