I had wrasse issues when I added an unknown type of lyretail wrasse into my system. I have a banana wrasse and he went nuts... I mean it was so bad the banana wrasse would be spitting out aquamarine scales from the new guy out. I was horrified. All the drama was over in about 3-4 day to my relief. I was really freaking out for awhile. Now they swim side by side and you would never know there ever was a problem.
I have no advise on what you should really do... However if it was my fish and it is not a huge issue to catch it... I would add him again in a couple of weeks. I believe all fish do have personalities and each one will respond differently. If it is an option to put him in the penalty box for a while, I would certainly try it. If the solar wrasse hasn't seriously hurt the other one by now... it is worth a shot. But then again that is just my opinion