  We examine perturbatively the two-Higgs-doublet extension of the \SM\ in the
context of the suspected triviality of theories with fundamental scalars.
Requiring the model to define a consistent effective theory for scales below a
cutoff of $2\pi$ times the largest mass of the problem, as motivated by lattice
investigations of the one-Higgs-doublet model, we obtain combined bounds for
the parameters of the model. We find upper limits of 470 GeV for the mass of
the light $CP$--even neutral scalar and 650--700 GeV for the other scalar
masses.
