I am trying to configure the Salesforce external identity for my companies website and using the embedded login process which Salesforce provides. Can you reference the community SelfRegistration page, and Password Reset forms, directly from your company website like you can with the login functionality? So having the Registration form appear directly overlayed on your website after clicking a link or button on the company website. The Login experience for an end user appears very seamless as you stay on your website the whole time. However clicking the link to self register from the login form redirects the users browser to a community page to register but redirecting back to your company website in a seamless fashion is not working out very well.
One thing you can do is after registration (assuming you fully register the user, including getting a password) is redirect back into the embedded login. This will return the user to the site on which embedded login is installed. See the second section on this page: https://developer.salesforce.com/docs/atlas.en-us.externalidentityImplGuide.meta/externalidentityImplGuide/external_identity_login_advanced_topics.htm
