We perform a global analysis of curved Friedmann-Robertson-Walker cosmologies in the presence of a viscous fluid. The fluid's bulk viscosity is governed by a first order theory recently proposed in Disconzi el al (2015 Phys.
Rev. D 91 043532), and the analysis is carried out in a compactificd parameter space with dimensionless coordinates.
We provide stability properties, cosmological interpretation and thermodynamic features of the critical points.