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We propose a predictive model based on the $SU(3)_{C}\otimes SU(3)_{L}\otimesU(1)_{X}$ gauge group supplemented by the $A_{4}\otimes Z_{3}\otimesZ_{4}\otimes Z_{6}\otimes Z_{16}$ discrete group, which successfully describesthe SM fermion mass and mixing pattern. The small active neutrino masses aregenerated via inverse seesaw mechanism with three very light Majorananeutrinos. The observed charged fermion mass hierarchy and quark mixing patternare originated from the breaking of the $Z_{4}\otimes Z_{6}\otimes Z_{16}$discrete group at very high scale. The obtained values for the physicalobservables for both quark and lepton sectors are in excellent agreement withthe experimental data. The model predicts a vanishing leptonic Dirac CPviolating phase as well as an effective Majorana neutrino mass parameter ofneutrinoless double beta decay, with values $m_{\beta \beta }=$ 2 and 48 meVfor the normal and the inverted neutrino mass hierarchies, respectively.

A predictive $331$ model with $A_{4}$ flavour symmetry