We have measured the isothermal magnetization loops of top-seeded melt processed (Sm0.5Eu0.5)Ba2Cu3O7−δ+10 mol% (SmEu)BaCuO5+10 wt% Ag crystals in a magnetic field up to 8 T parallel to the c-axis from 50 to 87 K using a vibrating sample magnetometer. All of the isothermal Jc(H) curves show a second peak. The scaling of the Fp–H curves indicates that the flux pinning force Fp comes from the collective pinning of two kinds of pinning centres, Fp = FpH+FpL. One (FpH) is the ΔTc-type pinning centre originating from the RE–Ba and RE–RE substitution responsible for the second peak; the other (FpL) is the normal pinning contributed by the surface and point pins. The Hc2–T diagram implies two critical temperatures. The crossover occurs at about 88.2 K.