  We discuss the Flavor-Changing Neutral Current (FCNC) decays of the top quark
t -> c Vi Vj (Vi=gamma, Z, g) in the framework of the Standard Model (SM) and
in a two-higgs doublet model (2HDM) with tree-level FCNC couplings. While in
the SM the expected branching ratios are extremelly small, in the 2HDM they may
be sizable, of order 10^(-5) - 10^(-5), and thus accesible at the CERN LHC. We
conclude with the interesting observation that the FCNC decay modes may not be
equally suppressed as their corresponding decays t ->c Vi in this 2HDM.
