I discuss asymptotically safe extensions of the Standard Model with new matter fields at the TeV scale. The BSM sector contains singlet scalars and vector-like fermions in representations which permit Yukawa interactions with the Standard Model leptons and a Higgs portal coupling. Phenomenological implications are explored including production and decay mechanisms, charged lepton flavour violation, Drell-Yan processes and lepton anomalous magnetic moments. Moreover, UV safety is discussed up to the Planck regime in dependence of the BSM couplings. Scenarios are highlighted which avoid Landau poles, stabilise the Higgs sector and accommodate for the muon anomalous magnetic moment.