Posted by director Chris Miller, on Twitter, we see that filming has commenced on the first and also untitled Han Solo anthology film.  Its working title is "Red Cup"  as in Solo will no doubt inspire new waves of fan merchandise. (I'd buy a Red Cup logo shirt.)   The film is supposedly slated for May 2018 but it would not surprise me if that moved.

Han
First
Shot pic.twitter.com/KReR6rgKFT

— Chris Miller (@chrizmillr) January 30, 2017