A composition containing suspensolide and optionally at least one of γ-hydroxy acid of epianastrephin, γ-hydroxy acid of anastrephin, 2,6-dimethyl-6-vinyl-cyclohexeneacetic acid, β-D-glucopyranosyl 2,6-dimethyl-6-vinyl-cyclohex-1-ene-1-acetoate, or mixtures thereof, and optionally a carrier or carrier material; the composition contains no β-bisabolene and no α-farnesene. A method for attracting Anastrepha species (e.g., A. suspensa) involving treating an object or area with an Anastrepha species attracting effective amount of the above composition.