  In this manuscript we compute corrections to the global Casimir effect at
zero and finite temperature due to Rainbow's Gravity (parametrized by $\xi$).
For this we use the solutions for the scalar field with mass $m$ in the
deformed Schwarzschild background and the corresponding quantized energies of
the system, which represent the stationary states of the field and yield the
stable part of the quantum vacuum energy. The analysis is made here by
considering the limit for which the source mass, $M$, approaches zero, in order
to verify the effects on the global Casimir effect in mini black holes near to
the Planck scale, $\omega_P$. We find a singular behavior for the regularized
vacuum energy at zero temperature and for all the corresponding thermodynamic
quantities when $m^2=\omega^2_P/\xi$, what can be seen as the limit of validity
of the model. Furthermore, we show that the remnant Casimir tension over the
event horizon in the limit $M\to 0$ is finite for any temperature and all the
space of parameters. In fact we show that the remnant tension receives no
corrections from Rainbow's Gravity. This points to the fact that such a
behavior may be an universal property of this kind of system.
