  Spherical contours introduced in \cite{SphericalContours} translate the
concept of "discontinuity across a branch cut" to Feynman parameter space. In
this paper, we further explore spherical contours and connect them to the
computation of leading IR divergences of 1 loop graphs directly in Feynman
parameter space. These spherical contours can be used to develop a Feynman
parameter space analog of "Leading Singularities" of loop integrands which
allows us to develop a method of determining Feynman parameter integrands with
no reference to the momentum space loop integrand. Finally, we explore some
interesting features of Feynman parameter integrands in $\mathcal{N}=4$ SYM.
