  We investigate composite two Higgs doublet models realized as pseudo
Goldstone modes, generated through the spontaneous breaking of a global
symmetry due to strong dynamic at the TeV scale. A detailed comparative survey
of two possible symmetry breaking patterns, SU(5) -> SU(4) x U(1) and SU(5) x
SU(4), is made. We point out choices for the Standard Model fermion
representations that can alleviate some phenomenological constraints, with
emphasis towards a simultaneous solution of anomalous Zb\bar{b} coupling and
Higgs mediated Flavor Changing Neutral Currents. We also write down the kinetic
lagrangian for several models leading to Two Higgs Doublets and identify the
anomalous contributions to the T parameter. Moreover, we describe a model based
on the breaking $SO(9)/SO(8)$ in which there is no tree-level breaking of
custodial symmetry, discussing also the possible embeddings for the fermion
fields.
