Sources said the process was stuck since Rahul Gandhi is not willing to contest the election for the post of Congress president, although all the efforts to convince him are still going on.
Congress general secretary (communications) Jairam Ramesh said they will pose three questions a day to Prime Minister Narendra Modi over the issue.
He said citizens from far flung areas of the country come to the apex court and the bench headed by the CJI was dismissing their petitions without hearing them at the admission stage.
In his remarks at the rallies, Pilot has cornered the Gehlot government over issues such as the repeated paper leaks and political appointments of retired bureaucrats while sidelining party workers.