  We study the collider, astrophysical and cosmological constraints on the dark
matter sector of a conformal model within the framework of both the freeze out
as well as the freeze in mechanism. The model has a dark sector with strong
self interactions. This sector couples weakly with the Standard Model (SM)
particles via a scalar messenger. The lightest dark sector particle is a
pion-like fermion anti-fermion bound state. We find that the model successfully
satisfies the constraints coming from the Higgs decay to the visible as well as
the invisible sector. We have used the results of the dark matter direct
detection experiments, such as, XENON1T in order to impose bounds on the
parameters of the model. The model satisfies the indirect detection constraints
of gamma ray from the galactic center and Dwarf spheroidal galaxies. We also
determine the parameter range for which it satisfies the astrophysical
constraints on the dark matter self coupling.
