There are some Stages on the World Map that are marked in red.
These Stages are more difficult than other Stages.

Items can be used. Gameplay and clear targets are the same as other Stages but when you clear the difficult Stages, you will get an additional Reward apart from the first clear Reward (Clover).

You can see these difficult Stages in the World Map and the top part of the ready window before starting the Stage is colored red and also has a skull mark to show that it is a difficult Stage.