Robotically assisted microsurgery or telemicrosurgery is a new technique using robotic telemanipulators. This allows for the addition of optical magnification (which defines conventional microsurgery) to robotic instrument arms to allow the microsurgeon to perform complex microsurgical procedures. There are several possible applications for this platform in various microsurgical disciplines. Since 2009, basic skills training courses have been organized by the Robotic Assisted Microsurgical and Endoscopic Society. These basic courses are performed on training models in five levels of increasing complexity. This paper reviews the current state of the art in robotically asisted microsurgical training.