  We show that for almost every translation surface the number of pairs of
saddle connections with bounded magnitude of the cross product has asymptotic
growth like $c R^2$ where the constant $c$ depends only on the area and the
connected component of the stratum. The proof techniques combine classical
results for counting saddle connections with the crucial result that the
Siegel--Veech transform is in $L^2$. In order to capture information about
pairs of saddle connections, we consider pairs with bounded magnitude of the
cross product since the set of such pairs can be approximated by a fibered set
which is equivariant under geodesic flow. In the case of lattice surfaces,
small bounded magnitude of the cross product is equivalent to counting parallel
pairs of saddle connections, which also have a quadratic growth of $c R^2$
where $c$ depends in this case on the given lattice surface.
