We have performed the 11Be(p, d) 10Be reaction in inverse kinematics. The 10Be were detected in the SPEG spectrometer and the deuterons detected in a silicon array in coincidence. The yield to the first excited state (2+) of 10Be is greater than that to the 0+ ground state, and increases with angle. Strong population of the two-alpha plus two-neutron states near 6 MeV (in the two-centre shell-model description) is observed. The ultimate goal is to study the microscopic structure of 11Be from the extracted spectroscopic factors.