In this paper, the stability features of discrete Alfvén eigenmodes (αTAEs) trapped by the α-induced potential wells are explored in CFETR (China Fusion Engineering Test Reactor) advanced steady-state operation, where α denotes a measure of the pressure gradient. For the reversed magnetic shear (RS) H-mode scenario with enhanced internal transport barrier (ITB), the αTAEs are trapped in the electron cyclotron (EC) power deposition region and effects of different pedestals on αTAEs are analysed. For the negative off-axis magnetic shear scenario, the αTAEs are discussed, and the effect of different magnetic shears on the αTAEs is presented. Finally, the effect of beam energies and pitch-angle distributions on αTAE stability is also presented.