My plan of attack to troubleshoot would be to remove the headlight assembly from the vehicle, open up the angel eye bulb cap and inspect the angel eye ring "stems".
To get an idea of what they look like inside, refer to the pictures in this post:
https://www.e90post.com/forums/showp...4&postcount=16
Your car is an e90 LCI with xenons, so there are some differences regarding the routing of the ring stems, but the concept is the same. Try looking for any damage or anything blocking the stem ends. You could try to do this with the light assembly in situ, but your viewing angles will be extremely limited. If you don't want to jump to removing the light assembly (which requires removal of the front fascia) you could try an endoscope to inspect.
If you do find damage to the ring stems, I'm afraid the only way to repair it is to open the lights up. And because it's an e90, it is very difficult.