The remarks of Chavan showed the mindset of the ruling BJP, party spokesman P L Punia told reporters.
He said it was "shameful" that the government as also the BJP have failed to react.
A video, has gone viral on the social media, purportedly showing Chavan using analogy of pigs while talking about "uplift of Dalits" at an event in neighbouring Thane district on June 17.
Chavan had allegedly cited the example of Abraham Lincoln narrating a story where the US President picked up a "piglet" from a drain and cleaned it.
Punia, who also heads the National Commission for Scheduled Castes, said he has sought a report from the DGP, Maharashtra as also Commissioner of Police, Thane including the action taken in the matter.