Using deep (11.2hr) VLT/MUSE data from the MEGAFLOW survey, we report the first detection of extended MgII emission from a galaxys halo that is probed by a quasar sightline. The MgII $lambdalambda$ 2796,2803 emission around the $z = 0.702$ galaxy ($log(M_*/mathrm{M_odot}) = 10.05^{+0.15}_{-0.11}$) is detected out to $approx$25 kpc from the central galaxy and covers $1.0times10^3$ kpc$^2$ above a surface brightness of $14times10^{-19} mathrm{erg} mathrm{s}^{-1} mathrm{cm}^{-2},mathrm{arcsec}^{-2}$ ($2 sigma$; integrated over 1200 km s$^{-1}$ =19A and averaged over $1.5 ;mathrm{arcsec}^2$). The MgII emission around this highly inclined galaxy ($simeq$75 deg) is strongest along the galaxys projected minor axis, consistent with the MgII gas having been ejected from the galaxy into a bi-conical structure. The quasar sightline, which is aligned with the galaxys minor axis, shows strong MgII $lambda$2796 absorption (EW$_0$ = 1.8A) at an impact parameter of 39kpc from the galaxy. Comparing the kinematics of both the emission and the absorption - probed with VLT/UVES -, to the expectation from a simple toy model of a bi-conical outflow, we find good consistency when assuming a relatively slow outflow ($v_mathrm{out}= 130;mathrm{km},mathrm{s}^{-1}$). We investigate potential origins of the extended MgII emission using simple toy models. With continuum scattering models we encounter serious difficulties in explaining the luminosity of the MgII halo and in reconciling density estimates from emission and absorption. Instead, we find that shocks might be a more viable source to power the extended MgII (and non-resonant [OII]) emission.