  We explore the physics potential of the NuMI beamline with a detector located
10 km off-axis at a distant site (810 km). We study the sensitivity to $\sin^2
2 \theta_{13}$ and to the CP-violating parameter $\sin \delta$ as well as the
determination of the neutrino mass hierarchy by exploiting the $\nu_\mu \to
\nu_e$ and $\bar{\nu}_\mu \to \bar{\nu}_e$ appearance channels. The results are
illustrated for three different experimental setups to quantify the benefits of
increased detector sizes, proton luminosities and $\nu_e$ detection
efficiencies.
