 During the Council of Basel, Carvajal was assigned to work with Juan de Torquemada, O.P., who was at the time (from 1435 to 1439) Master of the Sacred Palace (Papal Theologian), to counteract the schism of the Fathers at Basel.Between 1440 and 1448 he spent much time in Germany.He worked with Cardinal Nicholas of Cusa, to placate the strong feelings of the German princes against Pope Eugene IV (1383 – 23 February 1447), to overcome their "neutrality" in the last and schismatic phase of the Council of Basel.