A police official said the number of students and activists detained outside the Bhaidas Hall in suburban Vile Parle was not yet available.
The action came after police denied permission for the 'All India Students Summit 2018', which was scheduled to be held today, in which Mevani and Khalid were invited.
The police denied permission in the wake of protests and bandh in the state yesterday following violence on the anniversary of a battle fought 200 years ago at Bhima Koregaon in Pune, a senior police official said.
"Despite this we plan to go ahead with the programme. Mevani, Khalid and other invitees are coming after 11 am," he said.
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Daghe said there was a huge police presence at the hall and the students were not being allowed to go inside.
Pune Police had earlier said that they had received a complaint against Gujarat MLA and Dalit leader Mevani and Delhi's Jawaharlal Nehru University's (JNU) student leader Khalid for their "provocative" speeches at an event in Pune on December 31.
Violence erupted in Pune district when Dalit groups were celebrating the bicentenary of the Bhima-Koregaon battle in which the forces of the British East India Company defeated the Peshwa's Army.