The total angular momentum (J =1,10) S matrix elements of the Li+HF reaction have been calculated using a time independent method, and matrix transformed to the stereodirected and Gauss Legendre discrete variable representations.This paper extends to higher partial waves the study on the stereodynamics of the Li+HF reaction performed at a total angular momentum J =0. The work is focused on the orbital angular momentum (L) substates rather than on the projections K on the intermolecular axis and emphasis is given to a space-fixed rather than to a body-fixed view of the collision process. A detailed comparison of stereodirected and discrete variable representations is also made.