In the first place, it's essential to be very particular about what you put on your face. Never use baby oil, synthetic oil from the supermarket, or any oils with weird additives. Use only natural oils, either mono or a mixture, with a transparent composition, containing only cosmetic oils, extracts, and essential oils.
It's crucial to keep in mind your skin type when choosing a natural oil for face massage. As you massage the oil into your skin for several minutes, it acts as a nutritious cosmetic product, and every cosmetic product should be tailored to the specific needs of your skin.
Are there any "one-size-fits-all" oils? Yes, several oils, for example, peach kernel oil or shea butter, are almost universal. However, it's better to consider your skin type anyway, especially if your skin has problems and requires special care.