Multinucleon transfer cross sections in the 96 Zr+ 40 Ca system have been measured, in inverse kinematics, at bombarding energies ranging from the Coulomb barrier to ∼25% below. Targetlike recoils have been identified in A, Z and velocity with the large solid angle magnetic spectrometer PRISMA. The experimental data for oneand two-neutron transfer channels have been compared with semiclassical microscopic calculations. For the two-neutron transfer channels the relevance of the transitions to the ground state and to the 0 + excited states of 42 Ca are discussed by employing, for the reaction mechanism, the successive approximation. It is found that the transition to the 0 + state at ∼6 MeV, whose wave function is dominated by the two neutrons in the 2p 3/2 shell, is much larger than the ground state one. The comparison with the inclusive data reveals that transitions to states with high multipolarity and non-natural parity are important. This suggests that more complex two-particle correlations have to be incorporated in the treatment of the transfer process.