A bi-phasic, non-emulsion cosmetic composition for application to skin includes a hydrophobic liquid phase and a hydrophilic liquid phase separate from but in contact with the hydrophobic liquid phase. Either or both phases may include active ingredients useful for cosmetic applications. When the composition is agitated, a temporary mixture of the two phases results, wherein the mixture contains globules of one of the phases suspended in the other. The mixture containing globules is applied to skin as a cosmetic.