  In these proceedings we present the results for lepton flavour violating tau
and muon decays within the SUSY seesaw scenario. Specifically, we consider the
Constrained Minimal Supersymmetric Standard Model extended by three right
handed neutrinos, $\nu_{R_i}$ and their corresponding SUSY partners, ${\tilde
\nu}_{R_i}$, ($i=1,2,3$), and use the seesaw mechanism for neutrino mass
generation. We include the predictions for the branching ratios of two types of
lepton flavour violating channels, $l_j \to \l_i \gamma$ and $l_j \to 3 l_i$,
and compare them with the present bounds and future experimental sensitivities.
We first analyse the dependence of the branching ratios with the most relevant
SUSY seesaw parameters, and we then focus on the particular sensitivity to
$\theta_{13}$, which we find specially interesting on the light of its
potential future measurement. We further study the constraints from the
requirement of successfully producing the baryon asymmetry of the Universe via
thermal leptogenesis, which is another appealing feature of the SUSY seesaw
scenario. We conclude with the impact that a potential measurement of
$\theta_{13}$ can have on lepton flavour violating physics. This is a very
short summary of the works in Refs. \cite{Arganda:2005ji} and
\cite{Antusch:2006vw} to which we refer the reader for more details.
