Disclosed is a process to produce a purified vapor comprising dialkyl-furan-2,5-dicarboxylate (DAFD). Furan-2,5-dicarboxylic acid (FDCA) and an alcohol in an esterification zone to generate a crude diester stream containing dialkyl furan dicarboxylate (DAFD), unreacted alcohol, 5-(alkoxycarbonyl)furan-2-carboxylic acid (ACFC), and alkyl furan-2-carboxylate (AFC). The crude diester stream is fed to a flash evaporation zone to produce a vapor alcohol composition and a first liquid DAFD rich composition. At least a portion of the remaining alcohol can be separated from the first liquid DAFD rich composition to produce a second alcohol vapor and a second liquid DAFD rich composition, followed by separating AFC from the second liquid DAFD rich composition to product an AFC vapor and a partially purified DAFD rich composition, followed by separating a portion of the DAFD from the partially purified DAFD rich composition to produce a purified DAFD vapor.