Under the assumption of pseudoscalar-meson pole dominance for K(L) --> 2-gamma and K(L) --> pi+pi-gamma decays, the a(K(L)-eta) and a(K(L)-eta') are determined. Experimental consequences on K(L) --> pi+pi-gamma, K(L) --> pi-0-gamma-gamma, and K(L) --> pi-0e+e- are discussed.