The CDF II detector has the capability of triggering on displaced tracks. Because of this ability, CDF II has accrued large samples of charmed meson decays to fully hadronic final states in 64 pb-1 of p anti-p collision data gathered at s**(1/2) = 1.96 TeV. Using initial Run II data samples, the production cross sections for J/psi, D0, D+, D*+ and D+_s mesons have been measured. Ratios of branching ratios for Cabibbo suppressed final states and CP asymmetries in D0 meson decays have been studied. A measurement of the mass difference m(D+_s)-m(D+) has been done, and a limit for the branching fraction of the FCNC D0 --> mu+ mu- decays has been set.