 The growing trend for electric vehicles, EVs, and fast charging stations, FCSs, will cause the overloading of grids due to the high current injection from FCS's converters. This can lead to grid instability problems, such as voltage and frequency deviation at the point of common coupling, PCC. Researchers have focused on two-stage converter control, TSCC, and single-stage converter, SSC, control for FCS stability enhancement. SSC architectures are superior in performance compared to TSCC methods, but they face challenges related to power decoupling and dynamic response problems. TSCC methods deploy current or voltage control for controlling EV's SOC battery charging through proportional integral, PI, proportional resonant, PR, deadbeat or proportional integral derivative, PID, controllers, which are relegated by high current harmonics, frequency fluctuation and switching losses due to transient switching. This paper reviewed the linkage between the latest research contributions, issues associated with TSCC and SSC techniques, and the performance evaluation of the techniques, and subsequently identified the research gaps and proposed SSC control with SO. This article was authored by Kabir Momo, Shamsul Aizam Zulkifli, Petra Korba, and others. We are article.tv, links in the description below.