NOVELTY - Producing (P1) furan dicarboxylate comprises reacting furan dicarboxylic acid (I) with at least an alcohol (II) or a mixture of different alcohols in a carbon dioxide atmosphere in substantial absence of any other extrinsic catalyst to yield a mixture of esters comprising substituted furan-2,5-dicarboxylic acid compounds (f1).    USE - The process is useful for producing furan dicarboxylate (claimed) that is used for polymer materials, plasticizers or fuels. The monoalkyl esters are useful as fungicides in wood preservation.    ADVANTAGE - The process: is simple and environmentally benign; avoids the use of acyl halide or strong mineral acids for the activation of free carboxylic acids, thus saving cost and process conversion; and makes diesters in short periods at great yields without strong mineral acids, thus eliminating purification steps.    DETAILED DESCRIPTION - Producing (P1) at least one furan dicarboxylate comprises reacting furan dicarboxylic acid of formula (I) with at least an alcohol of formula (II) or a mixture of different alcohols in a carbon dioxide atmosphere in substantial absence of any other extrinsic catalyst to yield a mixture of esters comprising substituted furan-2,5-dicarboxylic acid compounds (f1) of formula (III) or (IV).    R = at least saturated, unsaturated cyclic or aromatic group, preferably 1-20C.    INDEPENDENT CLAIMS are also included for:    (1) synthesizing (P2) furan diester comprising reacting furan dicarboxylic acid with an alcohol in carbon dioxide atmosphere in the substantial absence of any other acid catalyst under operational conditions that are super critical, critical or near critical temperatures and pressures for the alcohol or carbon dioxide gas; and    (2) processing (P3) furan dicarboxylic acid comprising reacting furan dicarboxylic acid with a first alcohol in carbon dioxide atmosphere in the substantial absence of any other acid catalyst to produce first ester mixture, reacting the first ester mixture with a second alcohol in a transesterfication reaction to produce second ester mixture.