  As it is well known by now, the pre-partonic phase in hadron collisions is
successfully described by the Color Glass Condensate (CGC) approach. Previous
studies, based on experimental data obtained on a wide range of energies at the
Relativistic Heavy Ion Collider (RHIC) and at the Large Hadron Collider (LHC)
for $\pi^+$, $K^+$ and $p$, evidenced that observables related to the dynamics
of the collision, i.e. the mean transverse momentum ($\langle p_T \rangle$),
the slope of the $\langle p_T \rangle$ dependence on the mass of the hadrons
and the average transverse flow velocity obtained from the simultaneous fits of
the $p_T$ spectra of the particles with the Boltzmann-Gibbs Blast Wave (BGBW)
expression, scale rather well as a function of the square root of the ratio of
the particle density over unit of rapidity to the overlapping area of the
colliding nuclei ($\sqrt{(dN/dy)/S_\perp}$), the relevant scale in the gluon
saturation picture. Results of a similar study extended to strange and
multi-strange hadrons, for both proton-proton (\textit{pp}) and heavy-ion
(\textit{A-A}) collision systems are presented in the present paper. The
similarities and differences in the behaviour of strange hadrons relative to
non-strange hadrons are discussed.
