When using any make up around your eyes,
be very gentle with the soft skin underneath your eye.
Especially when using cream concealers.
It's a very delicate area.
Try using your pinky, or your ring finger to blend around the area as it's harder to apply pressure.
If you can't be gentle with a cream concealer, swap to a liquid as they're much easier to blend.
YSL's Touche Eclat Radiant Touch Concealer is a great product to start with!