"We have got leads but not a breakthrough," Parrikar told reporters after a cabinet meeting here.
The chief minister said the police is probing various angles in the case, which was reported on January 14.
The seven-year-old school girl was allegedly raped in a toilet next to the headmistress' cabin.
"There are 15 officers who are working to crack the case," he said. The crime branch has formed a 15-member special investigation team.
The school headmistress was arrested by the police for negligence, but the court released her on bail.