[en] From the partial differential Calogero's (three-body) and Smorodinsky-Winternitz (superintegrable) Hamiltonians in two variables we separate the respective angular Schroedinger equations and study the possibilities of their 'minimal' PT symmetric complexification. The simultaneous loss of the Hermiticity and solvability of the respective angular potentials V(φ) is compensated by their replacement by solvable, purely imaginary and piece-wise constant multiple wells V₀(φ). We demonstrate that the spectrum remains real and that it exhibits a rich 'four series' structure in the double-well case