There were three Sylesti, and I defeated two of them, and tried to catch the third. After two nets, he ran away (bummer)...

Now, I'm stuck in combat and I can't figure out how to run away during battle.
There are no enemies to fight, so I cannot target anything or continue battle in general.

I was hoping someone might have some tips for this issue? There must be something I'm missing here.

Well if I had realized having everyone block for the turn would finish the battle, I wouldn't have posted this.
This is why you should sleep, folks.