  Dark Matter (DM) is usually studied in connection with rotational curves in
the outskirts of the galaxies. However, the role of DM might be different in
the galactic bulges and centers where Supermassive Black Holes (SMBHs) dominate
the gravitational interaction. Indeed, given the fact that DM is the dominant
matter species in the Universe, it is natural to assume a close connection
between DM and SMBHs. Here we probe into this possibility by constructing
stable objects with fuzzy mass distributions based on standard DM profiles.
These astrophysical objects come out in three types: a fuzzy droplet without
horizon and fuzzy Black Holes (BHs) with one or two horizons. We emphasize that
all objects are solutions of Einstein equations. Their effective potentials
which govern the motion of a test body, can display a reasonable similarity to
the effective potential of a Schwarzschild BH at the galactic center.
Therefore, some of our solutions could, in principle, replace the standard
BH-picture of the galactic center and, at the same time, have the advantage
that they have been composed of the main matter ingredient of the Universe.
