  The quest for Dark Matter signals in the gamma-ray sky is one of the most
intriguing and exciting challenges in astrophysics. In this paper we perform
the analysis of the energy spectrum of the \textit{Fermi bubbles} at different
latitudes, making use of the gamma-ray data collected by the Fermi Large Area
Telescope. By exploring various setups for the full-sky analysis we achieve
stable results in all the analyzed latitudes. At high latitude,
$|b|=20^{\circ}-50^{\circ}$, the \textit{Fermi bubbles} energy spectrum can be
reproduced by gamma-ray photons generated by inverse Compton scattering
processes, assuming the existence of a population of high-energy electrons. At
low latitude, $|b|=10^{\circ}-20^{\circ}$, the presence of a bump at
$E_{\gamma}\sim 1-4$ GeV, reveals the existence of an extra component
compatible with Dark Matter annihilation. Our best-fit candidate corresponds to
annihilation into $b\bar{b}$ with mass $M_{\rm DM}= 61.8^{+6.9}_{-4.9}$ GeV and
cross section $<\sigma v> = 3.30^{+0.69}_{-0.49}\times 10^{-26}$
cm$^{3}$s$^{-1}$. In addition, using the energy spectrum of the \textit{Fermi
bubbles}, we derive new conservative but stringent upper limits on the Dark
Matter annihilation cross section.
