Multi site password reset email

Hi all,

I am trying to send the proper reset password email to the users that have forgotten their password.
How we use it : in the custom password reset email template we use user_metadata to display the proper application name and logo, since we manage several with one tenant.
Problem : When a user forgets his password and send a reset password email, the user.metadata can contain data of a previously visited website, not the one that he is currently trying to connect to.
What I try to do : I would like to pass data from the universal login prompt to the reset password email so when sending the email we know where the user comes from.
Is that feasible in any way ?

Any help appreciated, thanks ,