The activists shouted slogans against Dutt and demanded that the month-long parole granted to the actor be cancelled and he should immediately be sent back to Pune's Yerawada Central Jail, said ABVP city secretary Yadunath Deshpande.
He said it was surprising how a person convicted for grave offences could be given parole twice in two months.
Deshpande alleged that the grounds of ill-health of Dutt's wife Manyata were not convincing as she was seen attending late-night film parties.
Mumbai police, which has deployed tight security outside Dutt's residence, arrested 15 activists, including ABVP national secretary Ashish Chauhan, but later released them.
Despite repeated pleas by the demonstrators, Dutt refused to come out and meet them or interact with media persons.
Dutt was granted a month-long parole last week - the second in two months - to care for his wife who is reportedly suffering from heart and liver ailments.