A pharmaceutical composition for treating a disease such as malaria which is responsive to artemether or arteether is disclosed, wherein the composition comprises: artemether or arteether; and a pharmaceutically-acceptable excipient selected from the group consisting of: medium chain length triglycerides; short chain triglycerides; omega-3-marine triglycerides; and fish oil, rich in omega-3-acids said composition formulated for transmucosal sublingual, buccal or nasal dosage.