Witnesses told authorities Parra hit the victim once in the face while holding a sharp object described as "possibly a razor blade, we're not sure," Dooley said, according to the Fresno Bee.
The girl suffered a laceration to her face, just under her eye, according to the Bee. Dooley told the newspaper she was taken to a hospital Saturday and in stable condition after the attack.
It was not immediately clear whether the victim and the suspect were known to each other before Saturday. KSEE reported Parra lives at the home where the stabbing was reported. According to the Bee, the victim was a guest at the birthday party.
Authorities continue to investigate.