In this talk, we introduce the concept of parallelizability for impulsive semi-dynamical systems. Two relationships are investigated in the study of impulsive
semidynamical systems: the relationship between parallelizable systems and the existence of sections and the relationship between parallelizable systems and dispersive systems.
In addition, we present a study of parallelizability in the region of weak attraction of a compact, strongly invariant and asymptotically stable set.