What's broken on your E53 today!
https://r.tapatalk.com/shareLink?sha...3&share_type=t
That post shows the basic before and after. It doesn't show how I supported the metal contact ring but you can see the self threading screw I used to reattach it.
The problem is a design flaw: steel is a TERRIBLE contact material yet they choose to use it it's moronic. The steel corrodes makes for high resistance that causes heat which melts the plastic.
Not sure what you tried to do to fix it but unless you removed the metal ring on the melted side, propped it up underneath to make it level and parallel and screwed it back down it was not even a band-aid much less a fix. I see many ignorant posts about cleaning the contacts or stretching out the spring contacts etc. The contact ring must be detached and reassembled properly. THEN clean the contacts and replace the bulb holder if it's contacts are shot.
It took an hour to fix both of my wife's. If you have one bad the other is surely about to go. When one of her lights blinked out the other was 95% shot as well they looked just the same amount of melted.