  We examine the possibility that the dark matter (DM) interpretation of the
GeV scale Fermi gamma-ray excess at the Galactic Center can be realized in a
specific framework - secluded singlet fermionic dark matter model with small
mixing between the dark and Standard Model sector. Within this framework it is
shown that the DM annihilation into bottom-quark pair, Higgs pair, and new
scalar pair can give good fits to the Fermi gamma-ray data. Moreover
unavoidable constraints from the antiproton ratio by the PAMELA and AMS-02, the
gamma-ray emission from the dwarf spheroidal galaxies by the Fermi-LAT, and the
Higgs measurements by the LHC are also considered. Then we found our best-fit
parameters for the Fermi gamma-ray excess without conflicting other
experimental and cosmological constraints if uncertainties on the DM density
profile of the Milky Way Galaxy are taken into account. Successfully surviving
parameters are benchmark points for future study on the collider signals.
