Hello Elise,

here you can find WPML support thread:

https://wpml.org/forums/topic/html-blocks-link-are-rewritten-in-opposite-language/

I have set TML block both in italian and english here:

https://www.andreawinebellagio.com/categoria-prodotto/bianchi/

https://www.andreawinebellagio.com/en/categoria-prodotto/white-wines/

as you can see link to english version of catalog page is rewritten on the fly as you call it
and it opens from english link the italian language page

thanks