The incident happened on Saturday night when Sudeb Pal (20), a second year student of the Nivedita Institute of Technology, entered into an argument with some third year students over a volleyball game, they said.
The volleyball match was held on Friday in which the third-year students lost to the second-year team resulting into an altercation.
Thirteen engineering students were arrested yesterday in this connection.
Police have started a suo motu investigation in the matter. Sudeb is currently under treatment at a private hospital here.