  We study Blackadar and Kirchberg's matricial field (MF) property and
quasidiagonality in cross-sectional C*-algebras constructed from Fell Bundles
and, in particular, from partial C*-dynamical systems. In doing so we
generalize Kerr and Nowak's notion of a residually finite action to partial
topological dynamical systems. We look at some examples exhibiting this
property including the partial Bernoulli shift which produces an MF reduced
crossed product provided the group in question is exact, residually finite, and
admits an MF reduced group C*-algebra.
