I'm not sure if you've tried Pai before but we're a certified organic range for sensitive skin. All of our products are completely irritant-free and we select only the purest organic extracts with proven skin-soothing benefits.
If you have combination skin then you don't need to avoid all oils, as they're essential for keeping skin soft, supple and healthy. Instead you need to avoid certain kinds of rich, fatty oils that will overload your skin and may cause blemishes.
All of the products in the Pai range are formulated first with sensitive skin in mind, and then to treat any secondary concerns. Our Geranium & Thistle Combination Skin Cream for example actively rebalances skin, decongests pores and reduces their size. As it does not contain beeswax it is also non-comedogenic.
Take a look: http://www.paiskincare.com/geranium-thistle-combination-skin-cream-3
It also comes in 5ml format as part of our free sample set.
Hope of help!