Rare-earth Pyrochlores of the form A2B2O7 display a diverse set of physical phenomena emanating from the strong geometrical frustration experienced by magnetic moments on this lattice of corner-sharing tetrahedra. The best studied material exhibiting this frustration are the ?spin ice? compounds Ho2Ti2O7 and Dy2Ti2O7 in which the rare-earth moments reside on the A-site of the Pyrochlore lattice, and they can be regarded as classical spins with a strong easy axis (Ising) anisotropy. The study of the new Pyrochlore magnet Sm2Ti2O7, as proposed here, offers an exciting new perspective. This magnet has a 4f5 electronic configuration at the Sm3+ site which is responsible for the magnetism in this material. The J=5/2 ground state, which is split into 3 doublets by the action of the crystal field, may lead to a possibility that an exchange-coupled version of the spin ice problem could emerge.