  We study the structure of the indecomposable direct summands of tensor
products of two restricted simple $SL_3(K)$-modules, where $K$ is an
algebraically closed field of characteristic $p \geq 5$. We give a
characteristic-free algorithm for the computation of the decomposition of such
a tensor product into indecomposable modules.
  The $p<5$ case for $\SL_3(K)$ was studied in the authors' earlier paper. In
this paper we show that for characteristics $p\geq 5$ all the indecomposable
summands are rigid, in contrast to the situation in characteristic 3.
