  We use the remodeling approach to the B-model topological string in terms of
recursion relations to study open string amplitudes at orbifold points. To this
end, we clarify modular properties of the open amplitudes and rewrite them in a
form that makes their transformation properties under the modular group
manifest. We exemplify this procedure for the C^3/Z_3 orbifold point of local
P^2, where we present results for topological string amplitudes for genus zero
and up to three holes, and for the one-holed torus. These amplitudes can be
understood as generating functions for either open orbifold Gromov-Witten
invariants of C^3/Z_3, or correlation functions in the orbifold CFT involving
insertions of both bulk and boundary operators.
