  In our previous work we have shown that the invariant varieties of periodic
points (IVPP) of all periods of the 3 dimensional Lotka-Volterra map can be
derived, iteratively, from the singularity confinement (SC). The method
developed there can be applied to any integrable maps of dimension $d$ only
when the number of the invariants $p$ equals to $d-1$. We propose, in this
note, a new algorithm of the derivation which can be used in the cases ${d\over
2}\le p\le d-2$. Applying this algorithm to the 3 point Toda map, we derive a
series of its IVPP's.
