Cordial rhymes with:
orgill, cargile, orgill, agile, angel, angell, archangel, carabajal, cargile, conjul, cudgel, dugal, edgell, fogal, fragile, gudgel, hugill, kegel, magill, megill, nigel, orgill, pujol, ridgell, rigel, schmidgall, sigal, skidgel, smigel, vergil, vigil, virgil
Cordial sounds like:
cardell, cardella, cardello, cardiel, cardillo, cardwell, cartel, cartwheel, chartwell, chortle, cordell, cordially, cordill, cordle, cortelyou, courtly, cowardly, cradle, credle, cretella, criddle, critelli, crotwell, crudele, crudely, curatolo, curtail, curtly