We extend the continuum discretized coupled channel method (CDCC) to a microscopic version, where the projectile is described by a microscopic cluster model. This generalization (MCDCC) only relies on nucleon-target interactions, and therefore presents an important predictive power. We briefly present an outline of the model, and provide recent examples with 7 Li and 8 B elastic scattering on different light and heavy targets. We show that the model can be applied to high energies, as well as to low energies.