Socialite security problems

Maybe I'm to scared of doing something wrong in my system. But I started with socialite and now i created a database, which connects the social login providers and provider ids to the user. Now I ask myself, if it is a normal workaround to connect multiple social accounts to one user. For example a user can login with github and facebook. And what about security. For example a user created an account with his email address. Now he is logged out and clicks login with facebook. Should i take the facebook email and look if there is a user in database with the email and connect this? Im not sure if this could end in security problems. How do you solve this? Hope someone has an idea.