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In this work we study the Lepton Flavour Violating semileptonic tau --> muf0(980) decay within the context of SUSY-Seesaw Models, where the MSSM spectrumis extended by three right handed neutrinos and their SUSY partners, and wherethe seesaw mechanism is used to generate the neutrino masses.  We estimate its decay rate when it proceeds via the Higgs mediated channeltau --> mu H* --> mu f0(980), where H refers to the CP-even MSSM Higgs bosonsh^0 and H^0, and the Lepton Flavour Violating tau mu H vertex is radiativelygenerated via SUSY loops. In order to describe the f0(980) meson we follow theguidelines from chiral constraints. As an implication of our computation, weexplore the sensitivity to the Higgs sector in this decay and compare it withother LFV tau decay channels. The confrontation of our predictions for BR(tau--> mu f0(980)) with its very competitive present experimental bound leads usto extract some interesting restrictions on the most relevant model parameters,particularly, tanbeta and m_{H^0}.

Sensitivity to the Higgs Sector of SUSY-Seesaw Models in the Lepton Flavour Violating tau-->mu f0(980) decay