Within the framework of the Standard Model effective field theory, with operators up to dimension 6, we perform a model-independent analysis of the lepton-flavour-violating processes involving tau leptons. Namely, we study $\ell$-$\tau$ conversion in nuclei and hadronic tau decays. Based on available experimental limits, we establish bounds on the Wilson coefficients of the operators contributing to these processes. The related information from Belle II and foreseen future experiments can be easily incorporated in the resulting framework. Furthermore, motivated by the observed anomalies at LHCb and their possible explanation within the leptoquark framework, we study the most general leptoquark model, both in the scalar and vector sectors. The leptoquark couplings are constrained from the above-mentioned analysis.
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