Sync Wix and Vimeo users

We are a Rythm Gimnastic acadamy trying to sell our courses online.
We have a site hosted in Wix where we sell some video courses from Vimeo by VOD method.
The videos are embed in the page directly (not using Wix’s built-in tools for Vimeo videos).
So, they are sold by the Vimeo paywall.

The goal is:
Left users to make an order not being a member, but create a member area for them when purchase is completed, where the could see the purchased videos.
All this without the need of getting registered twice (Wix-Vimeo), and in the most user friendly way (less steps).

Please, add to your offer a small explanation about what you thing it could be done, and steps involved in the user side.

Thanks!