[Clipper]

It sounds like you have one of the more common misconceptions of the monsters that do not pursue you, Dmaynard. That text on a monster means that it will not chase you if you lose the combat and need to Run Away. These monsters always fight you, regardless of your Level, and you start fighting them as soon as they appear. You cannot Run Away without first losing the combat and you cannot choose to lose the combat if your combat strength is higher than that of the monsters.