Classical integrable sigma-models form an important class of two-dimensional integrable field theories. It is a long standing belief that such models define renormalisable Quantum Field Theories. In this talk, I will review some recent developments related to this question. For instance, I will discuss some checks of this conjecture in several examples, including theories coupling an arbitrary number of Principal Chiral Models together in an integrable way. Based on these examples, I will comment on the emergence from these results of a common simple structure in the 1-loop RG flow of a very broad class of integrable sigma-models.
