We answered your email about the same issue. Pasting it here in case others have the same question.
I can tell you that the plugin hasn’t been specifically tested with WPML, unfortunately. As we move forward with this and the other plugins, we hope to do more testing of this sort.
That being said, if you aren’t already, I’d suggest you make use of the multiple locations feature in the plugin. That creates a custom post type called Locations, which lets you add multiple locations (or just one, if that’s all you need) as posts in WordPress. What this means is those entries will, by default, be compatible with WPML. You would just need to go into your WPML settings and enable the custom post type. After that, whenever you create a new location, you should see the WPML option to translate that post/location. Then you can use the contact-card shortcode with the specific location attribute (https://doc.fivestarplugins.com/plugins/business-profile/user/faq#shortcode) to display the address on your site. My assumption would be that, if you put the shortcode on a page that is on the Dutch side of your site, then it would use the Dutch translation of the location post you created, and vice versa. Of course, we haven’t tested this to know if it will indeed be the case, but it’s definitely worth a try.