Tanmoy Ghosh, a spokesman of the 1600-strong alumni body, on Tuesday said Dhankhar, who is also the chancellor of the university, gave them time on Wednesday afternoon.
The authorities, in a signed statement, urged "all sections of the university community" to take necessary steps so that everyone can express views without fear.
The meme has triggered outrage with many prominent personalities including poet Joy Goswami and singer Srikanto Acharya expressing shock.
The authorities will videograph events and the varsity will lodge police complaints in case of vandalism inside the campus.
Babul Supriyo had assured the student's ailing mother that no action will be taken against her son for his action.
The right-wing students' organisation took out the rally from Gariahat area in south Kolkata to protest against the September 19 attack on Union Minister Babul Supriyo on Jadavpur University campus.
Union minister Babul Supriyo was blocked on Thursday at the campus by protesters from left-wing student unions for nearly five hours and was taken out by the Governor.
The complaint named Supriyo as the "prime accused" and also identified five other ABVP members.
The Governor had described the incident of students demonstrating in front of his car on the university campus that evening as a failure on part of the state police.
The student Debanjan Ballav's ailing mother Rupali had urged Supriyo home 'with folded hands' to pardon his son as handing him over to the police would ruin his career.
Dhankar arrived at the hospital in the southern part of the city's Dhakuria area around 10 am to meet Das and pro-VC PK Ghosh, who were admitted on Thursday.
Jadavpur University violence: Babul Supriyo to file defamation case against CPM leader Mohammad Salim
Salim claimed, on September 19, Supriyo had misbehaved with women at the university premises.
Governor Jagdeep Dhankar has also instructed the chief secretary and home secretary to take immediate action.
TMC secretary-general and Education Minister Partha Chatterjee maintained that the administration played a very peaceful role to resolve the problem amicably.
The governor also issued a strong statement, denouncing the fracas on the hallowed campus and the alleged confinement of the Asansol MP for over four hours.