Whatever type of ingredients (raw materials) you use for your cosmetic product, your product falls under Cosmetics Regulation (EC) 1223/2009. You will have to comply with all obligations. It is a common misunderstanding that natural ingredients are safe; cosmetic products on a natural basis are not safe by definition.
We do not want to disturb anyone’s dream, but in practice it is rather complicated. Of course there are no problems with sunflower oil or olive oil, but safety is by no means guaranteed for many essential oils. Unfortunately, scientific information about the long-term health effects of many natural ingredients is not always available.