Dutt, who has already undergone imprisonment of 18 months, was on Thursday sentenced to five years imprisonment in 1993 Mumbai serial blasts case.
"Amar Singh and Jaya Prada met the Governor (on the Sanjay Dutt issue) this evening," a Raj Bhawan spokesperson said.
Before arriving at the Raj Bhawan, the duo drove to the Bandra residence of Sanjay Dutt and met the actor.
Actor-turned-politician, Jaya Prada, had earlier said she was "heart broken" at the news of Sanjay Dutt's jail term pronounced by the Supreme Court and called him an "innocent person", who had been caught wrongly.
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Amar Singh has been close to Dutt and was his mentor when the actor briefly dabbled in politics.
Sinha had joined Katju in appealing to the Maharashtra Governor to pardon Dutt after the Supreme Court upheld his conviction in the 1993 Mumbai blasts case.
Katju has sought pardon for Dutt under Article 161 of the Constitution saying that he had not been found guilty of having played a role in the 1993 blasts and had suffered a lot.