  In the present article we study the cosmological evolution of a two-scalar
field gravitational theory defined in the Jordan frame. Specifically, we assume
one of the scalar fields to be minimally coupled to gravity, while the second
field which is the Brans-Dicke scalar field is nonminimally coupled to gravity
and also coupled to the other scalar field. In the Einstein frame this theory
reduces to a two-scalar field theory where the two fields can interact only in
the potential term, which means that the quintom theory is recovered. The
cosmological evolution is studied by analyzing the equilibrium points of the
field equations in the Jordan frame. We find that the theory can describe the
cosmological evolution in large scales, while inflationary solutions are also
provided.
