  We report the direct detection of a fully convective, early-to-mid M-dwarf
companion orbiting the star HD 86006, using ESO-SPHERE during Science
Verification as part of the SAFARI program. HARPS+CORALIE radial velocity
measurements first indicated a possible companion. Such work highlights the
synergies that are now possible between these two observing methods. We studied
the companion by comparing our observed spectra with BT-Settl models and
template spectra, measuring spectral indices to obtain a spectral type, and
used a joint radial velocity and astrometric fit to simulate the companion's
orbit. The companion was found to be 4.14 mag fainter than the primary in the
H2 band, residing at a physical separation of $\sim$ 25 AU, with a
$T_\mathrm{eff}$ and spectral type of 3321 $\pm$ 111 K and M 4.1 $\pm$ 1.1,
respectively. We note that the age derived from BT-Settl models for such a star
is too low by over two orders of magnitude, similar to other known field mid-M
stars. We searched for the radial velocity companion to HD 90520 without any
clear detection, however we reached a low contrast level of $\Delta$H2 = 10.3
mag (or $1.3 * 10^{-4}$) at 0.2$''$ and 12.6 mag (or $10^{-5}$) at 0.5$''$,
allowing us to rule out any low-mass companions with masses of 0.07 and 0.05
M$_{\odot}$ at these separations. This discovery provides us with the exciting
opportunity to better constrain the mass-luminosity relation for low-mass stars
in the super metal-rich domain, expanding our understanding of the most-common
types of stars and substellar objects.
