  The Gell-Mann $\lambda$ matrices for Lie algebra su(3) are the natural basis
for the Hilbert space of Hermitian operators acting on the states of a
three-level system(qutrit). So the construction of EWs for two-qutrit states by
using these matrices may be an interesting problem. In this paper, several
two-qutrit EWs are constructed based on the Gell-Mann matrices by using the
linear programming (LP) method exactly or approximately. The decomposability
and non-decomposability of constructed EWs are also discussed and it is shown
that the $\lambda$-diagonal EWs presented in this paper are all decomposable
but there exist non-decomposable ones among $\lambda$-non-diagonal EWs.
