  We present status of the 3-3-1 models and their implications to cosmological
evolution such as inflation, phase transitions and sphalerons. The models can
deal not only with the issues such as neutrino physics, dark matter, etc, but
they are also able to provide quite good agreement with the Standard Cosmology:
the inflation happens at the GUT scale, while phase transition has two
sequences corresponding two steps of symmetry breaking in the models, namely:
SU(3) --> SU(2) and SU(2) --> U(1). Some bounds on the model parameters are
obtained: in the RM331, the mass of the heavy neutral Higgs boson is fixed in
the range: 285.56 GeV <M_{h_2}< 1.746 TeV, and for the doubly charged scalar:
3.32 TeV <M_{h_{--}}< 5.61 TeV.
