  We study a simplified model of top-flavoured dark matter in the framework of
Dark Minimal Flavour Violation. In this setup the coupling of the dark matter
flavour triplet to right-handed up-type quarks constitutes the only new source
of flavour and CP violation. The parameter space of the model is restricted by
LHC searches with missing energy final states, by neutral $D$ meson mixing
data, by the observed dark matter relic abundance, and by the absence of signal
in direct detection experiments. We consider all of these constraints in turn,
studying their implications for the allowed parameter space. Imposing the mass
limits and coupling benchmarks from collider searches, we then conduct a
combined analysis of all the other constraints, revealing their non-trivial
interplay. Especially interesting is the combination of direct detection and
relic abundance constraints, having a severe impact on the structure of the
dark matter coupling matrix. We point out that future bounds from upcoming
direct detection experiments, such as XENON1T, XENONnT, LUX-ZEPLIN, and DARWIN,
will exclude a large part of the parameter space and push the DM mass to higher
values.
