  We present a Molecular Dynamics study of the single particle dynamics of
supercooled water confined in a silica pore. Two dynamical regimes are found:
close to the hydrophilic substrate molecules are below the Mode Coupling
crossover temperature, $T_C$, already at ambient temperature. The water closer
to the center of the pore (free water) approaches upon supercooling $T_C$ as
predicted by Mode Coupling Theories. For free water the crossover temperature
and crossover exponent $\gamma$ are extracted from power-law fits to both the
diffusion coefficient and the relaxation time of the late $\alpha$ region.
