  We consider a composite model where both the Higgs and a complex scalar
$\chi$, which is the dark matter (DM) candidate, arise as light pseudo
Nambu-Goldstone bosons (pNGBs) from a strongly coupled sector with TeV scale
confinement. The global symmetry structure is $SO(7)/SO(6)$, and the DM is
charged under an exact $U(1)_{\rm DM} \subset SO(6)$ that ensures its
stability. Depending on whether the $\chi$ shift symmetry is respected or
broken by the coupling of the top quark to the strong sector, the DM can be
much lighter than the Higgs or have a weak-scale mass. Here we focus primarily
on the latter possibility. We introduce the lowest-lying composite resonances
and impose calculability of the scalar potential via generalized Weinberg sum
rules. Compared to previous analyses of pNGB DM, the computation of the relic
density is improved by fully accounting for the effects of the fermionic top
partners. This plays a crucial role in relaxing the tension with the current DM
direct detection constraints. The spectrum of resonances contains exotic top
partners charged under the $U(1)_{\rm DM}$, whose LHC phenomenology is
analyzed. We identify a region of parameters with $f = 1.4\; \mathrm{TeV}$ and
$200\;\mathrm{GeV} \lesssim m_\chi \lesssim 400\;\mathrm{GeV}$ that satisfies
all existing bounds. This DM candidate will be tested by XENON1T in the near
future.
