About a third of the 7.7 million Venezuelans who have left their country due to political and economic turmoil have settled in neighboring Colombia. The extent to which the Colombian schooling system can absorb the massive demand for education of Venezuelan children is key for their future trajectory of human capital accumulation, as well as that of Colombian students in receiving communities. This paper estimates the effect of Venezuelan migration on educational outcomes of children living in settlement municipalities in Colombia, distinguish between the effect of the migration shock on native and migrant students. Specifically, it estimates the effect of the migration shock on school enrollment, dropout/promotion rates and standardized test scores. The identification relies on a plausibly exogenous measure of the "predicted migration" shock faced by each Colombian municipality every year. The findings show that the migration shock increased the enrollment of Venezuelan students in both public and private schools and in all school grades, but also generated negative spillovers related to failing promotion rates and increasing dropout. This paper documents that these negative effects are explained by the differential enrollment capacity of schools, as well as by the deterioration of key school inputs.