  We give another proof, using tools from Geometric Invariant Theory, of a
result due to S. Sam and A. Snowden in 2014, concerning the stability of
Kro-necker coefficients. This result states that some sequences of Kronecker
coefficients eventually stabilise, and our method gives a nice geometric bound
from which the stabilisation occurs. We perform the explicit computation of
such a bound on two examples, one being the classical case of Murnaghan's
stability. Moreover, we see that our techniques apply to other coefficients
arising in Representation Theory: namely to some plethysm coefficients and in
the case of the tensor product of representations of the hyperoctahedral group.
