  We present the first sub-arcsecond localised Fast Radio Burst (FRB) detected
using MeerKAT. FRB 20210405I was detected in the incoherent beam using the
MeerTRAP pipeline on 2021 April 05 with a signal to noise ratio of 140.8 and a
dispersion measure of 565.17 pc cm$^{-3}$. It was detected while MeerTRAP was
observing commensally with the ThunderKAT large survey project, and was
sufficiently bright that we could use the ThunderKAT 8s images to localise the
FRB. Two different models of the dispersion measure in the Milky Way and halo
suggest that the source is either right at the edge of the Galaxy, or outside.
This highlights the uncertainty in the Milky Way dispersion measure models,
particularly in the Galactic Plane, and the uncertainty of Milky Way halo
models. Further investigation and modelling of these uncertainties will be
facilitated by future detections and localisations of nearby FRBs. We use the
combined localisation, dispersion measure, scattering, specific luminosity and
chance coincidence probability information to find that the origin is most
likely extra-galactic and identify the likely host galaxy of the FRB: 2MASS
J1701249$-$4932475. Using SALT spectroscopy and archival observations of the
field, we find that the host is a disk/spiral galaxy at a redshift of
$z=0.066$.
