  In the present work we suggest new and more generalized parameterizations for
the Equation of State, EoS, of dark energy, maintaining the basic structure of
two-parameters CPL-model, but covering both the past and the future of the
cosmic history, without divergences and consistently with the current
observational data. We propose two generalizations, starting from the extended
MZp-model by Ma and Zhang, 2011, the $\xi$MZp-model and the DFp-model. The
potential advantages of using these new formulations is their extended range of
validity, mainly in the future, to determine possible future scenarios of the
cosmic evolution.
