Ethylene Vinyl Acetate is also called Poly(ethylene-co-vinyl acetate) . This elastomeric copolymer is known to dissolve well in DCM "dichloromethane" provided that there is no additive (e.g. plasticizer) inside the polymer.
Please check for its possible interest: https://www.researchgate.net/post/What_is_the_best_solvent_for_polyethylene-co-vinyl_acetateEVA https://www.researchgate.net/post/whats_the_best_solvent_for_EVAEthyl_Vinyl_Acetate_polymer