Some physicians perform a high SMAS facelift. This is fundamentally different from the SMAS facelift, deep plane, composure, etc. that we all learned in our residency training. However the skin should not be pulled in a purely upward direction without altering the hairline and direction of pull of the face.
The high SMAS facelift lifts the SMAS to well above the zygoma, into the area beside the eye. Therefore it is possible to lift the outer portion of the cheek with the facelift procedure.
Still, for lower eyelid hollowness to be corrected, it is often helpful to lift the central cheek as well, and this can be performed through the outer lower eyelid.
Occasionally, grafting below the eye is useful. I say occasionally because this area is very risky for lumps or irregularities forming. Therefore in my opinion lower eyelid grafting should be very, very carefully performed. I have seen many, many cases of irregularities from fat injection, grafts (including a few of my own!). I have noticed that among doctors who successfully specialize in the midface, there is an attitude of conservatism.
It is often best to simply use Restylane for under eye hollows that are still present after the above procedure. In the event there is dissatisfaction with the injections, the hyaluronic acid eventually goes away. This is not the case for semipermanent fillers such as ArteFill, Sculptra, silicone, PMMA, etc, all of which can produce disasters.