The incident took place last night after five children, including two girls, in the family started vomiting following which their parents tok them to a nearby private hospital.
The three minor victims were identified as Rahul (8), Sairaj (6) and Dhanraj (4).
While Rahul and Sairaj died early this morning at the hospital, Dhanraj passed away on his way to Sassoon hospital in Pune.
Their two sisters who were rushed to Ahmednagar government hospital, are said to be out of danger, police said.
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"During our investigation, we came to know that Diwali sweets were distributed in the locality, where the family resides, however, it is unlikely that the food poisoning occurred due to sweets as no one in the locality had complained after consumption.
We also came to know that the family had prepared potato curry and non-veg for dinner and suspect that food poisoning might have taken place at home, the inspector added.