We present new CDF results on the branching fractions and time-integrated direct CP asymmetries for B0 and B0(s) decay modes into pairs of charmless charged hadron (pi+ons or kaons). The data-set for this update amounts to 1 fb-1 of p anti-p collisions at a center of mass energy 1.96 TeV. We report the first observation of the B_s -> K- pi++ mode and a measurement of its branching fraction and direct CP asymmetry. We also observe for the first time two charmless decays of the Lambda0(b) --> p pi+- and Lambda0(b) --> p K-.