The incident occurred in the evening in the same city where a huge bomb explosion in February 2010 near a bakery killed 17 people. Pune is in the western state of Maharashtra, of which Mumbai is the capital.
The Indian Express reported four separate blasts went off in the heart of the city within a span of an hour from what was described as low-intensity crude bombs. Authorities immediately placed major cities in the country under security alert.
Two more similar bombs were found in the area but were defused by police, the report said.
The explosions occurred on the same day as Sushil Kumar Shinde took over as India's new home minister. Shinde had been due to visit Pune to attend an event Wednesday but the trip had been canceled prior to the blasts, sources told the Express.
R.K. Singh, the top official in Shinde's Home Ministry, said the likelihood of the serial blasts being a terror attack had not been ruled out.
The injured person was identified as a 33-year-old man, a resident at one of the blast sites. The extent of his injuries was not known, but they were not believed to be serious.