We study charged lepton flavour violation (cLFV) in a scenario in which light neutrino masses are generated via the inverse seesaw mechanism with $3+3$ heavy sterile states. Lepton mixing is predicted with the help of flavour symmetries combined with CP. The impact of current and prospective bounds of different cLFV processes on the parameter space of this scenario (choice of symmetry and its residuals, mass scales $\mu_0$ and $M_0$ and the free angle $\theta_R$) is analysed.