  We give a Montessus de Ballore type theorem for row sequences of
Hermite-Pad\'e approximations of vector valued analytic functions refining some
results in this direction due to P.R. Graves-Morris and E.B. Saff. We do this
introducing the notion of incomplete Pad\'e approximation which contains, in
particular, simultaneous Pad\'e approximation and may be applied in the study
of other systems of approximants as well.
