  Motivated by the discovery of the non-thermal Fermi bubble features both
below and above the Galactic plane, we investigate a scenario in which these
bubbles are formed through Galacto-centric outflow. Cosmic rays (CR) both
diffusing and advecting within a Galactic breeze outflow, interacting with the
ambient gas present, give rise to gamma-ray emission, providing an
approximately flat surface brightness profile of this emission, as observed.
Applying the same outflow profile further out within the disk, the resultant
effects on the observable CR spectral properties are determined. A hardening in
the spectra due to the competition of advective and diffusive propagation
within a particular energy range is noted, even in the limiting case of equal
CR diffusion coefficients in the disk and halo. It is postulated that this
hardening effect may relate to the observed hardening feature in the CR
spectrum at a rigidity of $\approx 200$ GV.
