Kejriwal, who held another meeting with AAP's newly elected MLAs to discuss strategy, said they would prefer to sit in the opposition and face elections if the situation warranted.
Both BJP and AAP asserted that they would neither extend nor take support from each other.
Amid uncertainty in Government formation, senior BJP leaders also held series of meetings and maintained their earlier position that the party will not stake claim to form a government as it was short of a clear majority.
"We have no numbers. We do not want to purchase any MLAs," former BJP president Nitin Gadkari, who is party in-charge of Delhi, said.
Sources said Gadkari discussed the issue with Narendra Modi through teleconferencing and the common view in the party was that it should not resort to taking any unethical move. "Obviously we do not have the numbers. We have 32 MLAs while we need support of 36 MLAs. Even if one of the unattached members support us or there is some repolarisation, the options are limited," senior BJP leader Arun Jaitley said.
BJP's Chief Ministerial candidate Harsh Vardhan also echoed the same view saying the party will not form the government as people of Delhi did not give such a mandate.
"People of Delhi made us the single largest party. But they did not give us support to form the government. We do not believe in politics of horse trading. The ball is not in our court," he said, indicating that BJP may prefer to face fresh election if the stalemate continued.
The BJP has called a meeting of all newly elected MLAs tomorrow which will be attended by Gadkari, party's Delhi unit president Vijay Goel and senior leader Thawarchand.
When asked whether Congress was open to extend support to AAP to form a government, Chief Minister Sheila Dikshit referred to Kejriwal's comment that his party will not take support of any party.
"AAP said they will not take support of Congress. It is their decision. We have not taken any decision on it," she said.
She said if there was no headway in government formation then there will be no option but to go for fresh polls. Meanwhile Lt Governor Najeeb Jung held consultations with senior officials and experts including Delhi Assembly Secretary P N Mishra on the next course of action. Dikshit also paid a courtesy call on Jung.
