I will address the main topics that have substantially motivated the development of the technique called evolutionary population synthesis and that, to some extent, are still open. These are (a) the rising branch of the Far-UV energy distribution of Elliptical Galaxies, (b) The age-metallicity degeneracy and the UV spectrum as a (complementary) tool to break it, (c) The UV properties of distant red galaxies and (d) the stellar libraries currently used in the modeling of the integrated properties of evolved populations. I will also comment on some recent investigations developed by our group that might help in understanding the global UV properties of aged stellar populations.