We studied several approaches for constructing PRSs in Hispanic/Latino populations, using GWAS results from independent studies in large populations of European ancestry (EA) and medium-sized GWASs in Hispanics/Latinos. We studied the performance of PRSs constructed using these approaches on an independent dataset. We investigated 12 traits in data analysis. Results differed by trait, and possibly by sample size of the discovery EA GWAS (the discovery GWASs in Hispanics/Latinos had about the same sample size for all traits). For example, for all anthropometric and blood count traits, which had sample sizes of more than 100K individuals in the EA discovery GWAS, optimal SNP selection was based on EA GWAS. However, results were not consistent in the blood pressure traits, which had smaller EA discovery sample sizes: around 70K individuals. However, for all traits, using estimated effect sizes from the EA GWAS as weights was never optimal. Our simulation studies were performed in simplified scenarios in which admixture arises from only two ancestral populations (unlike the HCHS/SOL, in which there are three ancestral populations), and the effect sizes were the same in