  Inspired by holographic dark energy models, we consider different energy
density profiles as possible sources needed to have traversable wormholes
solutions. Since such energy densities are all positive, we are forced to
introduce an equation of state of the form $p_{r}% (r)=\omega_{r}\left(
r\right) \rho(r)$. We will find that Zero Tidal Forces can be imposed at the
price of having the function $\omega_{r}\left( r\right) $ divergent for
$r\rightarrow\infty$. To overcome this inconvenient, we abandon the request of
having Zero Tidal Forces, by introducing appropriate modifications on the
function $\omega_{r}\left( r\right) $ in such a way to obtain a finite result
everywhere. We will find that such modifications will leave the behavior of the
Equation of State close to the throat invariant. Moreover, despite of the
initial assumption, we will find that every dark energy profile will be moved
into the phantom region. Among the different energy density proposals, only one
profile will not require a modification of the original $\omega
_{r}\left(r\right) $ to have Zero Tidal Forces. Such an energy density profile
will be consistent with the appearance of a Global Monopole.
