  In this review article, we highlight the impact of models incorporating
flavour symmetries on charged lepton flavour violating (LFV) processes. Flavour
symmetries provide a natural approach to explain the peculiar mass hierarchies
and mixing patterns of the Standard Model fermions. New sources of LFV are
generally present in new physics beyond the Standard Model, and flavour
symmetries can make distinctive predictions for LFV observables. Their
discovery can provide crucial information to distinguish flavour symmetries and
new physics scenarios in general. Because of their high sensitivity, we will
focus on searches for low-energy LFV processes such as mu --> e gamma or mu-e
conversion in nuclei but we will also highlight the potential impact of LFV
processes at the LHC. If new physics occurs at a scale accessible by the LHC,
the flavour operators they induce could potentially be probed in high detail.
