While both the leaders shouted at one another, some of their supporters got engaged in a scuffle.
The incident took place at Maligaon locality where Chakravarty had gone with her party members following eviction of some people by the railways recently.
Talukdar, the local MLA from Guwahati West constituency, was already there addressing the media.
The BJP MP reached the spot and accused the Congress MLA of not doing anything to help the people who have been evicted from railway land. Talukdar too shouted back at her.
The entire episode was later telecast by local TV channels.