The present invention relates to an epoxy adhesive composition comprising a) a first epoxy resin, b) a second epoxy resin modified with a copolymer based on a 1,3-diene and a polar, ethylenically unsaturated comonomer, c) a toughener and d) a polymer comprising a polyester segment, said polymer being at least partially crystalline at room temperature and having a softening temperature in the range of 40.degree. to 125.degree. C. The invention further relates to the use of such an epoxy adhesive composition for bonding parts of a vehicle without prehardening of the epoxy adhesive composition and to a vehicle, parts of which are bonded by the epoxy adhesive composition.