Additive Manufacturing is a technology still growing and reach of challenges in terms of research and application exploitations. After a short the presentation will focus on the following two main aspects. The presence of different physical, geometrical and temporal scale calls for a multiscale modeling. However, the scale difference is so significative that a more fundamental modeling approach could be extremely valuable. Some idea will be shared in this direction. The possibility of designing and producing structures with a complex geometry puts a lot of interest toward the solution of topology optimization problems. The presentation will try to interpret in a simple frame some interesting and very well performing algorithms.