  In the strong Yukawa coupling limit the renormalization of trilinear
couplings $A_i(t)$ and combinations of the scalar particle masses
$\mathfrak{M}_i^2(t)$ are studied in the framework of the Next--to--Minimal
SUSY Model. The dependence of given parameters on their initial values at the
Grand Unification scale disappears when the solutions of the renormalization
group equations approach the infrared quasi fixed points. Besides that at
$\tilde{\alpha}_{\text{GUT}}\ll Y_i(0)\ll 1$ in the vicinity of quasi fixed
points $A_i(t)$ and $\mathfrak{M}_i^2(t)$ concentrated near lines or surfaces
in the soft SUSY breaking parameter space. It occurs because the dependence of
trilinear couplings and combinations of scalar particle mass on $A_i(0)$ and
$\mathfrak{M}_i^2(0)$ disappears rather weakly. We propose a method which
enables to obtain equations for such lines and surfaces. Their origin is also
discussed by means of exact and approximate solutions of the NMSSM
renormalization group equations.
