The incident happened in Stratford around 3:20 p.m., Sunday, June 12 at the store located at 1606 Barnum Ave.
Officers responded after gunfire erupted in the store, said Capt. Frank Eannotti of the Stratford Police.
"During the incident, several persons were involved in the shooting and at this time some of the involved parties have been identified by investigators," Eannotti said.
There are no life-threatening injuries reported and the investigation is active and ongoing, Eannotti said.
Police did not release further details of the incident including how many people were injured and what caused the shooting.
This is a developing story. Check back to Daily Voice for updates.
Click here to follow Daily Voice Fairfield and receive free news updates.