Most modern RPGs usually display some sort of indicator to represent enemies in the overworld. Unfortunately, Cris Tales has no such thing. However, there is a way to avoid enemy encounters while exploring the monster-infested areas.
You won’t be able to avoid these enemies early in the game; instead, you’ll have to wait until you reach the lava city (Cinder) and purchase the Distortion Ring from the Shop. It costs 18,000 Marbles, but a couple of battles will easily score the Marbles to afford it.
After purchasing the item, equip it and try exploring those monster-infested areas like before. You’ll notice that you’re no longer encountering enemies as you did before. It is important to note that you’ll need to level up to stand a chance against the bosses in the game.