  In this article, we construct operator models for meromorphic functions of
bounded type on Krein spaces. This construction is based on certain reproducing
kernel Hilbert spaces which are closely related to model spaces. Specifically,
we show that each function of bounded type corresponds naturally to a pair of
such spaces, extending Helson's representation theorem. This correspondence
enables an explicit construction of our model, where the Krein space is a
suitable sum of these identified spaces. Additionally, we establish that the
representing self-adjoint relations possess a relatively simple structure,
proving to be partially fundamentally reducible. Conversely, we show that
realizations involving such relations correspond to functions of bounded type.
