  In this contribution we further study the classical disordered p=2 spherical
model with Hamiltonian dynamics, or in integrable systems terms, the Neumann
model, in the infinite size limit. We summarise the asymptotic results that
some of us presented in a recent publication, and we deepen the analysis of the
pre-asymptotic dynamics. We also discuss the possible description of the
asymptotic steady state with a Generalised Gibbs Ensemble.
