  We review some recents developments of the algebraic structures and spectral
properties of non-Hermitian deformations of Calogero models. The behavior of
such extensions is illustrated by the $A_2$ trigonometric and the $D_3$ angular
Calogero models. Features like intertwining operators and conserved charges are
discussed in terms of Dunkl operators. Hidden symmetries coming from the
so-called algebraic integrability for integral values of the coupling are
addressed together with a physical regularization of their action on the states
by virtue of a $\mathcal{PT}$-symmetry deformation.
