Hey Luc,
Sorry to hear about your inability to use The Events Calendar with Polylang here.
The first thing to note is that what you wrote about the design of The Events Calendar is accurate: is not based on a “normal” page but a sort-of faked one at the /events/ URL on your site (or whatever URL you set for it in your Events Settings).
This is good for many things but does cause several known bugs with various Multi-lingual plugins out there 🙁
I hate to bear the bad news, but basically, there is not a way to create two separate pages of that /events/ URL – I don’t quite know how Polylang works, but if possible, you might be able to have multilingual versions of single events or something? Single “events” from The Events Calendar are just a normal WordPress post type, so compatibility might be better there (I don’t know for certain, just a suggestion).
The Events Calendar is unfortunately quite incompatible with a variety of Multi-language plugins, which is hard to admit but is something we’re working very hard to improve over the next many releases and updates.
I’m sorry to disappoint Luc – please let me know if you have any further questions here, any comments/concerns/etc.
Cheers,
George