  In this work, the properties of the $\rho$ meson at rest in cold symmetric
nuclear matter are studied. We make use of a chiral unitary approach to
pion-pion scattering in the vector-isovector channel, calculated from the
lowest order Chiral Perturbation Theory ($\chi PT$) lagrangian including
explicit resonance fields. Low energy chiral constraints are considered by
matching our expressions to those of one loop $\chi PT$. To account for the
medium corrections, the $\rho$ couples to $\pi\pi$ pairs which are properly
renormalized in the nuclear medium, accounting for both $p-h$ and $\Delta -h$
excitations. The terms where the $\rho$ couples directly to the hadrons in the
$p-h$ or $\Delta -h$ excitations are also accounted for. In addition, the
$\rho$ is also allowed to couple to $N^{*}(1520)-h$ components.
