So, for example, Entei is encountered and a Togekiss uses Yawn on it. Entei flees, but is encountered later. Will Entei still be drowsy and fall asleep, or will it not be drowsy anymore?
I doubt that roaming Pokemon do keep their drowsiness after they flee and are encountered again, but I just wanted to make sure before I find a Pokemon with a move that causes sleep on the first turn that it's used.