The invention provides a process for the isolation of levulinic acid and formic acid from a composition comprising formic acid and levulinic acid, said process comprising a solid-liquid separation step, a vapor removal step, and a solvent-solvent extraction step, wherein a vapor condensate vapor and/or an aqueous phase from the solvent extraction is used to wash the solid fraction. Washing with vapor condensate results in higher levulinic acid yields (higher levulinic acid recovery) as compared to washing with normal water. Washing with aqueous phase results in a less compressible filter cake. Washing first with aqueous phase and subsequently with condensate results in even higher levulinic acid yields. The process is suitable for isolating levulinic acid and formic acid from compositions made by acid hydrolysis of a lignocellulosic biomass, and also from compositions made by acid hydrolysis of sugars such as glucose and fructose.