Robust implications on dark matter from the first FERMI sky γ map

We derive robust model-independent bounds on Dark Matter (DM) annihilations and decays from the first year of FERMI gamma-ray observations of the whole sky. These bounds only have a mild dependence on the DM density profile and allow the following DM interpretations of the PAMELA and FERMI e(+/-) excesses: primary channels mu(+)mu(-), mu(+)mu(-) mu(+)mu(-) or e(+)e(-)e(+)e(-). An isothermal-like density profile is needed for annihilating DM. In all such cases, FERMI gamma spectra must contain a significant DM component, that may be probed in the future.