  The observed properties of the Lyman-$\alpha$ (Ly$\alpha$) emission line are
a powerful probe of neutral gas in and around galaxies. We present spatially
resolved Ly$\alpha$ spectroscopy with VLT/MUSE targeting VR7, a UV-luminous
galaxy at $z=6.532$ with moderate Ly$\alpha$ equivalent width (EW$_0\approx38$
{\AA}). These data are combined with deep resolved [CII]$_{\rm 158 \mu m}$
spectroscopy obtained with ALMA and UV imaging from {\it HST} and we also
detect UV continuum with MUSE. Ly$\alpha$ emission is clearly detected with S/N
$\approx40$ and FWHM of 374 km s$^{-1}$. Ly$\alpha$ and [CII] are similarly
extended beyond the UV, with effective radius r$_{\rm eff} = 2.1\pm0.2$ kpc for
a single exponential model or r$_{\rm eff, Ly\alpha, halo} =
3.45^{+1.08}_{-0.87}$ kpc when measured jointly with the UV continuum. The
Ly$\alpha$ profile is broader and redshifted with respect to the [CII] line (by
213 km s$^{-1}$), but there are spatial variations that are qualitatively
similar in both lines and coincide with resolved UV components. This suggests
that the emission originates from two components with plausibly different HI
column densities. We place VR7 in the context of other galaxies at similar and
lower redshift. The Ly$\alpha$ halo scale length is similar at different
redshifts and velocity shifts with respect to the systemic are typically
smaller. Overall, we find little indications of a more neutral vicinity at
higher redshift. This means that the local ($\sim 10$ kpc) neutral gas
conditions that determine the observed Ly$\alpha$ properties in VR7 resemble
the conditions in post-re-ionisation galaxies.
