The cyclometalated Rh(III)-NHC compounds [Cp*RhI(C,C')-Triaz] (Triaz = 1,4-diphenyl-3methyl-1,2,3-triazol-5-ylidene) and [Cp*RhI(C,C')-Im] (Im = 1-phenyl-3-methyl-imidazol-2ylidene) are efficient catalysts for the hydrosilylation of terminal alkynes with complete regio-and stereoselectivity towards the thermodynamically less stable β-(Z)-vinylsilane isomer at room temperature in chloroform or acetone. Catalyst [Cp*RhI(C,C')-Triaz] shows a superior catalytic performance in terms of activity and has been applied to the hydrosilylation of a range of linear 1alkynes and phenylacetylene derivatives with diverse hydrosilanes, including HSiMePh2, HSiMe2Ph, HSiEt3 and the bulkier heptamethylhydrotrisiloxane (HMTS), to afford the corresponding β-(Z)-vinylsilanes in quantitative yields. The graphene-based hybrid material proposed mechanism entails the Rh-CAr assisted hydrosilane activation to afford a reactive Rhsilyl intermediate that leads to a (E)-silylvinylene intermediate after alkyne insertion and a metallacyclopropene-driven isomerization. The release of the -(Z)-vinylsilane product can occur by a reversible cyclometalation mechanism involving -CAM with the CAr-H bond or,alternatively, the Si-H bond of an external hydrosilane. The energy barrier for the latter is 1.2 kcal•mol -1 lower than that of the CAr-H bond, which results in a small energy span difference that makes both pathways competitive under catalytic conditions.