Abstract: This paper depicts the evolution of gaps in academic performance between native and immigrant background students, as they progress from primary to secondary education. We study three cohorts of students in European and traditional English-speaking immigration countries using combinations of international assessment studies (PIRLS, TIMSS and PISA). To address the issue of comparability of test scores across surveys and over time, we exploit rank-based measures of relative performance, which only require ordinal comparability of the data. We do not find significant differences between the academic achievements of immigrant children and their native-born peers in English-speaking receiving countries. By contrast, immigrant-background children – both of first- and of second-generation – exhibit a large achievement gap in primary school in Europe, even when accounting for observable differences in socioeconomic characteristics. The gap tends to narrow down in secondary education in both reading and mathematics but is not fully absorbed in most countries. This finding is noteworthy among second-generation students in systems with early tracking. The performance of students with mixed parents is not markedly different from native students. Diverging educational progress between immigrant children in traditional immigration countries and our sample of European countries seems to reinforce the importance of the initial socioeconomic endowment in shaping the academic trajectories of immigrant children.