The incident tool place while Rani was shooting in the holy city for her film Chudiyan under the banner of Yashraj productions.
A day after, along with the apology, Rani sought a similar reaction from the media if they were at fault.
"On behalf of my production, I am apologising to the media if some misbehaviour has happened with the press. We will also want the press ot apologise because if they have misbehaved then they should not be reluctant to say sorry," Rani said.
All her responses to media questions were heavily laced with sarcasm and made with a haughty and disdainful demeanor, leaving one wondering what she was trying to achieve through the press conference.
When a reporter interjected with a question just as Rain finished answering the previous one, in what appeared to be a premeditated response Rani flared, "Zara tameez se. Ek jane se baat kar rahe hain hum. (Behave yourself. I am speaking with someone already.)."
Then, realizing that she had actually finished answering the previous question, she continued, "Bataiye, kya aap ki kathinayee hai? (Tell me, what is your problem?)" Thinking his misery is over the reporter asked Mukerjee about the story of the film.
Mukerjee shot back, "Yeh nahin bata sakte. Bahut vaahiyaat sawaal hai. (I cannot tell. It is a very irresponsible question!)"
Another reporter suggested that she give a brief outline but Rani flatly refused, "We cannot give".
It is customary for film makers to explain the settings of the story on such occasions and Rani could have easily obliged. However, she had an agenda of her own.
"Just be happy that we have come and are shooting here," she said instead.
"The film fraternity and the press have a close bond. The point is that we should be subtle and good to each other," she added.
On Monday, the scuffle broke out when some journalists tried to get close to the crew members, including Rani and actress Konkana Sen Sharma, who were shooting on the banks of the River Ganga.
Media persons allege that the security of the crew members roughed them up.
"The things should be like, we go out of here after our shoot and give you our interviews and photo shoots and that's it. What is the point fighting and quarreling over it? The fact is that we both are not male actors, we are delicate females, so if people will create havoc, we would surely not like it," Rani said.
Pradeep Sarkar-directed Chudiyan also stars Abhishek Bachchan and Jaya Bachchan.