Embroil rhymes with:
broil, broil, croyle, roil, royle, boil, boyle, britoil, broil, coil, coile, coyle, croyle, doyle, foil, foyle, gatoil, guilfoil, hoyle, lukoil, moyl, moyle, o'boyle, oboyle, oil, oleoyl, recoil, roil, royle, soil, spoil, statoil, toil, uncoil