There is increasing importance attached to skill-based immigration in many countries including Australia. This paper investigates the incidences, determinants, and returns to graduate overeducation among tertiary qualified immigrants during the early phase of their settlement in Australia. We place particular emphasis on visa categories and region of origin. As expected, those on visas with "higher skill requirements" perform better in the labour market. The bulk of these are immigrants from English Speaking Backgrounds (ESB). Non-English Speaking Background (NESB) immigrants, on the other hand, have higher and persistent rates of overeducation. The wage returns to required and surplus education match the stylized facts of overeducation for ESB and Other NESB immigrants while Asian NESB immigrants receive no return to surplus education. Thus, the results suggest that NESB graduate immigrants are a heterogeneous group, with Asian graduate immigrants facing greater assimilation hurdles in the Australian labour market.