Our review complements the overview from Agarwal et al. , which delves into the theoretical background of rate theories applied to nucleation problems, as well as the review by Sosso et al. that provides a wider appraisal of simulation methods to investigate crystal nucleation from liquids, without a specific focus on crystal precipitation from solution. We believe solutions deserve particular attention because, even if crystallization from multicomponent liquids is extremely common, it presents peculiar challenges associated with the fact that the product phase is usually characterised by a different composition than the parent phase and that the driving force of the process depends on solute concentration. After defining the remits of applicability of atomistic simulations to nucleation problems and highlighting the theoretical basis associated with the main features of nucleation processes investigated by molecular simulations, we briefly review the literature describing the methods that enable modelling nucleation from solution with atomistic detail. Finally, we provide a critical comparison of the insight obtained from papers that investigate the nucleation of NaCl(s) from an aqueous solution: a problem that has been tackled with approaches covering the entire spectrum of methods reviewed in this work.