The students, who had reached up to Dorina Crossing from Birla Planetarium, surged towards RR Avenue shouting slogans against Banerjee and crying "shame shame" for holding a meeting with Modi at a time the state was witnessing widespread protests against the Citizenship (Amendment) Act.
The police had a trying time in controlling the students, who had turned aggressive, and scuffled with the security forces.
Banerjee, however, appealed to the students to maintain peace.
"We are all here protesting on the same issue. I am with you all. Why are you behaving like this?
"The police won't do anything to you. This is our police force. This is not Delhi police. Let us all protest together. If we come together, nobody can stop the movement," she said, but the Leftist students - who came from various state-run universities and also some central institutes - rejected the offer.
With the students refusing to listen and still crowding close to the stage, Banerjee was heard telling them: "I have appealed to you to maintain peace. You can do whatever you like. But look, if I am attacked, our boys will also become restive. That situation should be avoided."
She then egged on TMCP activists to resume their sloganeering. The situation eased out after some time, and the Leftist students left the spot.
( With inputs from IANS )