A liquid carrier for topical administration is provided that contains a mineral oil, turpentine and, optionally, camphor, and optionally other terpenoid components containing pinene, and its use to provide an antifungal composition containing a mixture of antifungal essential oils and the carrier system, wherein the mixture of antifungal essential oils includes an effective amount of each of Eucalyptus globulus, peppermint, cedarwood, and Manuka; along with the use of this composition in the topical treatment of fungal infection, particularly of the nail.