Sources of Flavor Changed Neutral Currents (FCNC) emerge naturally from a well motivated framework called 3-3-1 with right-handed neutrinos model, 331RHN for short, mediated by an extra neutral gauge boson Z . Following previous works we calculate these sources and in addition we derive new ones coming from CP-even and -odd neutral scalars which appear due to their nondiagonal interactions with the physical standard quarks. Furthermore, by using 4 texture zeros for the quark mass matrices, we derive the mass difference terms for the neutral mesons systems K 0 −K 0 , D 0 −D 0 and B 0 −B 0 and show that, though one can discern that the Z contribution is the most relevant one for mesons oscillations purposes, scalars contributions play a role also in this processes and hence it is worthwhile to investigate them and derive new bounds on space of parameters. In particular, studying the B 0 −B 0 system we set the bounds M Z 4.2 TeV and MS 2 , MI 3 7.5 TeV in order to be consistent with the current measurements. *