  Rigorous use of SUSYQM approach applied for Klein-Gordon equation with scalar
and vector potentials is discussed. The method is applied to solve exactly, for
bound states, two models with position-dependent masses and
$\mathcal{PT}$-symmetric vector potentials, depending on some parameters. The
necessary conditions on the parameters to get physical solutions are described.
Some special cases are also derived by adjusting the parameters of the models.
