After the concept of retro-orbicularis oculi fat had been developed, the authors focused in particular on the anatomic entity named suborbicularis oculi fat, consisting of the supraperiosteal submuscular fat excess situated over the zygoma. Its correction is demonstrated as well as its anatomic description and the fact that it contributes to the aesthetic deformity of the lower lids, just as the retro-orbicularis oculi fat contributes to the aesthetic deformity of the upper lids. The purpose of this paper is to study the upper and lower orbital areas, where a new approach is advocated for their correction in solo or in combination with a blepharoplasty.