Can FCNC transition c -> ul(+)l(-) be seen in D -> Vl(+)l(-) decays?

The decays D --> Vl(+)l(-) present in principle the opportunity to observe the short distance FCNC transition c --> ul(+)l(-), which is sensitive to t he physics beyond the Standard Model. We analyze the D --> Vl(+l-) decays w ithin the Standard Model, where in addition to the short distance dynamics also the long distance dynamics is present. The short distance contribution due to c --> ul(+)l(-) transition, which is present only in the Cabibbo su ppressed decays, is found to be three orders of magnitude smaller than the long distance contribution. The branching ratios well above 10(-7) for Cabi bbo suppressed decays could signal new physics. The most frequent decays ar e the Cabibbo allowed decays D-s(+) --> rho(+)mu(+)mu(-) and D-0 --> (K) ov er bar(*0) mu(+)mu(-) which are expected at the branching ratios of 3.10(-5 ) and 1.7.10(-6), respectively. These rates are not much lower than the pre sent experimental upper limit.