Hepatobiliary (HB) surgery is a challenging surgical subspecialty that requires highly specialized training and an adequate level of experience in order to be performed safely. As a result, minimally invasive HB surgery has been met with slower acceptance as compared to other subspecialties, with many surgeons in the field still reluctant to adopt the approach. Recently development of the robotic platform has provided a tool that can overcome many of the limitations of conventional laparoscopic HB surgery. Augmented dexterity enabled by the endowristed movements, software filtration of the surgeon's movements, and high-definition three-dimensional vision provided by the stereoscopic camera combine to allow steady and careful dissection of the liver hilum structures, as well as prompt and precise endosuturing in cases of intraoperative bleeding. These advantages have fostered many centers to widen the indications for minimally invasive HB and gastric surgery, with encouraging initial results. As one of the surgical groups that has performed the largest number of robot-assisted procedures worldwide, we provide a review of the state of the art in minimally invasive robot-assisted HB surgery.