"We have demanded a judicial probe into the killing of Gupta," who was brutally beaten by the police, state CPI(M) leader Rabin Deb told PTI.
The 22-year-old was injured in a lathicharge by the police and died due to the injuries suffered by him, the party alleged.
CPI-M senior leader Mohammed Salim told PTI that as Gupta died in police custody, Chief Minister Mamata Banerjee, who is also the home minister of the state, owed an answer why the youth was killed.
"He received an injury in an accident when he, along with 30 others, was being taken in a bus after being arrested. There was not even lathi charge by the police," Shamim said.
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The incident happened when SFI supporters gathered in Rani Rasmoni Road area of the city in connection with a protest rally to demand holding of college union elections in the state.
Police said SFI supporters turned violent and threw rotten tomatoes and eggs at the police personnel deployed in the area.
The hospital authorities said Gupta was admitted with head injury.