  We show the existence of Venice masks (i.e. nontransitive sectional Anosov
flows with dense periodic orbits), containing two equilibria on certain compact
3-manifolds. Indeed, the only known examples of venice masks have one or three
singularities, and they are characterized by having two properties: are the
union non disjoint of two homoclinic classes and whose intersection is the
closure of the unstable manifold of a singularity. Thus, we present two type of
examples containing two equilibria in which the homoclinic classes composing
their maximal invariant set intersect in a very different way.
