The object of the present work is to describe some bifurcations occurring in the 2D piecewise linear continuous map in canonical form involving the Poincare Equator (i.e. periodic points at infinity) and its relation to the so called "dangerous bifurcations" (following Hassouneh et al. [2004] and Ganguli and Banerjee [2005]). It will be shown that such regions are related not only to stable fixed points and repelling saddle cycles, and a more general definition is proposed. The boundaries of such regions are border collision bifurcations of cycles on the Poincare Equator.