A thermally-conductive interface interposable intermediate a first heat transfer surface and an opposing second heat transfer surface to provide a thermal pathway therebetween. The interface includes a thermally-conductive compound formed into a layer which is conformable between the first and second heat transfer surface. The compound is an admixture of: (a) a liquid resin constituent; and (b) a particulate filler constituent. The liquid resin constituent may be an ethylene-propylene copolymer (EPM) or a terpolymer (EPDM) of ethylene and propylene and a diene which may be ethylidene norbornene (ENB) or dicyclopentadiene (DCPD).