Congress shot off a letter to Chief Election Commissioner V S Sampath, demanding that she be booked and action taken against her for alleged violation of mode code of conduct.
In Jaipur, the Aam Aadmi Party also moved the EC, urging it to ensure action against Raje for her "provocative" remarks.
In his letter to CEC, Secretary of AICC Legal Department K C Mittal claimed that Raje had said that "let the elections be over, we will see who is cut into pieces" at the rally.
Raje had allegedly made the comments while referring to the controversial remarks by Saharanpur Congress candidate Imran Masood in which he had said threatened to chop Modi into pieces.
"Her (Raje's) statement is an open threat, deliberately and intentionally made, which is a criminal offence. She is holding a constitutional post as Chief Minister, Rajasthan and is under an oath to uphold the law and order, the Constitution of India and to maintain the sanctity and propriety of the office of Chief Minister.
"She cannot and should not take liberty to act in such a fashion, while holding such an office, to commit such crime.
In her statement, she mentioned about the alleged statement of Imran Masood, Congress candidate from Saharanpur, but both the cases are not comparable," Mittal said in the letter.
Terming it as clear case for immediate registration of FIR against her, the Congress leader insisted that "she should be arrested, apart from action for violation of Model Code of Conduct."
Mittal argued that even though the statement by Masood is claimed to be seven months old when he had not even joined Congress, the matter is already under investigation after registration of FIR.
On the Congress' and the BJP's anti-national and anti- democratic strategies, two public statements have surfaced; one by Congress MLA Imran Masood in Saharanpur, and another BJP CM Vasundhara Raje who warned "we will see who will be cut into pieces after the elections", AAP's Media Coordinator Mulk Raj said in the party's complaint sent to EC.
"We (AAP) would like to ask CM Vasundhara Raje, if she deserves to hold the office of the state even after resorting to such offensive remarks," he said.
"For the last over sixty years, Congress and BJP both have practiced the politics of religion based on the principles of divide and rule, and in election time these parties started polarizing the masses through hate speeches and provocative religious remarks," Raj said in a statement.
The country has witnessed violence on behest of such leaders in the past and the national integrity has been seriously affected, he said, adding that the EC shall take a strict and immediate action against such offenders.
(With PTI inputs)