Party sources said that the star Congress campaigner spoke to the girls on her visit to Sonia Gandhi's parliamentary constituency of Rae Bareli after stopping her convoy at the Civil Lines crossing.
The students complained about the lack of security for women and the poor law and order situation.
They also informed her about centrally-funded development projects in the constituency being executed allegedly in violation of norms.
Party sources said Priyanka assured the girls that she would look into their concerns.
Priyanka is to hold a closed-door meeting with party workers at the Bhuemau guesthouse before leaving for New Delhi in the evening, sources added.