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