We give a new proof of the classification result due to Sorin Popa that a finite depth inclusion of AFD type IIIλ factors N⊂M, λ∈ (0, 1), with a common discrete decomposition {N∞ ⊂ M∞, θ} is classified, up to isomorphism, by the type II core N∞ ⊂ M∞ and the standard invariant of θ.