This paper focuses on the important disputation about biomoral enhancement, the new frontier of human enhancement international debate. In the first part, it analyses the main issues of Unfit for the future, the 2012 book of Savulescu and Persson, which represents a very relevant step within this theme. In the second part, it considers some arguments against Persson and Savulescu’s thesis and their own replies. Finally, it develops some arguments to show the difficulties related to the idea that it is possible to clearly understand the nature of a moral enhancement and point out the hurdle to circumscribe the basic elements we have to intervene on in order to obtain a real improvement of human moral attitudes