Jewish-Christian Conversation in Fourth-Century Persian Mesopotamia

Was there an active Jewish-Christian polemic in fourth-century Persia? Aphrahat's Demonstrations, a fourth-century adversus Judaeos text, clearly indicates that fourth-century Persian Christians were interested in the debate. Is there evidence of this polemic in the rabbinic literature? Despite the lack of a comparable Jewish or rabbinic adversus Christianos literature, there is evidence, both from Aphrahat and the Rabbis that this polemic was not one sided.