I will discuss some cosmological solutions of the brane-induced gravity models recently proposed by Dvali et al. The cosmology of these models has various interesting properties, that will be discussed, both on theoretical and phenomenological sides: it allows to get constraints on the parameters of the model, can exhibit a late time acceleration of the Universe without the need for a non zero cosmological constant or converge to a Minkowski vacuum from generic initial conditions, and eventually are an interesting playground to investigate the van Dam-Veltman-Zakharov discontinuity.