The two women are charged with aggravated manslaughter and illegal exercise of a profession.
The child's mother is also being investigated on suspicion of conspiracy to commit manslaughter.
The boy's parents rushed him to hospital, but he was dead when he arrived.
Some 5000 such circumcisions are performed in Italy every year, and 35 per cent of them clandestinely, according to the latest figures.
Circumcision is not a common practice in Italy, but is prevalent among its Muslim immigrant community.
According to Associated Press in a 2019 article regarding a similar tragedy, many Italian doctors refuse to circumcise boys under the age of four.
According to the article, this refusal as well as high costs make it hard for parents looking to have their children undergo the procedure for religious reasons.
ANSA