  With growing agony of not finding a dark matter (DM) particle in direct
search experiments so far (for example in XENON1T), frameworks where the
freeze-out of DM is driven by number changing processes within the dark sector
itself and do not contribute to direct search, like Strongly Interacting
Massive Particle (SIMP) are gaining more attention. In this analysis, we ideate
a simple scalar DM framework stabilised by $Z_3$ symmetry to serve with a
SIMP-like DM ($\chi$) with additional light scalar mediation ($\phi$) to
enhance DM self interaction. We identify that a large parameter space for such
DM is available from correct relic density and self interaction constraints
coming from Bullet or Abell cluster data. We derive an approximate analytic
solution for freeze-out of the SIMP like DM in Boltzmann Equation describing $3
\to 2$ number changing process within the dark sector. We also provide a
comparative analysis of the SIMP like solution with the Weakly Interacting
Massive Particle (WIMP) realisation of the same model framework here.
