The groups got involved in the clash after the RSS-backed units allegedly tried to vandalise Lenin's statue located near Jadavpur 8B bus stand, they said.
A senior officer of Kolkata Police said two BJP activists have been detained at Jadavpur Police Station in this connection.
CPI(M) leader Satarup Ghosh claimed that he along with some of his party supporters blocked a few RSS activists, who tried to damage the statue.
Large number of police personnel have been deployed in the area to check any untoward incident, the officer said.
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A statue of Lenin was pulled down by some people with an excavator machine at College Square in Belonia sub-division of South Tripura district yesterday, with the CPI(M) holding BJP workers responsible for the incident.
In south Kolkata, a bust of Jan Sangh founder Syama Prasad Mookerjee was also vandalised yesterday by seven persons, including a woman, allegedly belonging to a left-wing group 'Radical'.
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