The invention provides an ophthalmic composition which is an aqueous suspension comprising drug, cyclodextrin and water, the composition having an aqueous phase of from about 0.1% (w/v) to about 90% (w/v) of the drug in solution, as dissolved free drug and as dissolved drug/cyclodextrin complex(es), and a solid phase of from about 10% (w/v) to about 99.9% (w/v) of the drug as solid drug/cyclodextrin particles, suspended in the aqueous phase; the size of the solid particles being from about 10 nm to about 1 mm, the drug/cyclodextrin particles being capable of dissolving in aqueous tear fluid within 24 hours of application to the eye surface. The aqueous eye suspension can be in the form of eye drops, eye gel or eye mist. Further, the invention provides a method for treating a condition of the posterior segment and/or anterior segment of the eye comprising applying to the eye surface, in an amount which delivers to said segment or segments a therapeutically effective amount of a drug suitable for treating said condition, an ophthalmic composition which is as defined above. Nasal compositions and methods and ophthalmic and nasal compositions in powder form are also provided.