  We investigate the phase diagram of the \tj Model on a triangular lattice
using a Variational Monte-Carlo approach. We use an extended set of Gutzwiller
projected fermionic trial wave-functions allowing for simultaneous magnetic and
superconducting order parameters. We obtain energies at zero doping for the
spin-1/2 Heisenberg model in very good agreement with the best estimates. Upon
electron doping (with a hopping integral $t<0$) this phase is surprisingly
stable variationally up to $n\approx 1.4$, while the $d_{x^{2}-y^{2}}+i d_{xy}$
order parameter is rather weak and disappears at $n\approx 1.1$. For hole
doping however the coplanar magnetic state is almost immediately destroyed and
$d_{x^{2}-y^{2}}+i d_{xy}$ superconductivity survives down to $n\approx 0.8$.
For lower $n$, between 0.2 and 0.8, we find saturated ferromagnetism. Moreover,
there is evidence for a narrow spin density wave phase around $n\approx 0.8$.
Commensurate flux phases were also considered, but these turned out {\em not}
to be competitive at finite doping.
