  We study the transport properties of a quasi-two-dimensional diffusive normal
metal film attached to a superconductor. We demonstrate that the properties of
such films can essentially differ from those of quasi-one-dimensional systems:
in the presence of the proximity induced superconductivity in a sufficiently
wide film its conductance may not only increase but also decrease with
temperature. We develop a quantitative theory and discuss the physical nature
of this effect. Our theory provides a natural explanation for recent
experimental findings referred to as the ``anomalous proximity effect''.
