At a meeting of its top leaders, including Arvind Kejriwal, some AAP legislators, who claimed to be around 20 in number, are said to have conveyed to the leadership that the party should make a fresh attempt at forming the government.
Sources said party MLA Rajesh Garg mooted the idea while describing Kejriwal's decision to resign in February after 49 days in power as one of the major reasons behind AAP's poor showing in the city in Lok Sabha polls.
The Rohini MLA is believed to have said that the party should consider forming the government so that people may benefit from the move.
"This proposal was greeted positively by some 20 AAP MLAs present at the meeting. Kejriwal and other senior leaders heard the views of the MLAs, but did not comment. The legislators left it to the political affairs committee to take a decision on this," said an AAP MLA on condition of anonymity.
"What is wrong if we formed the government for the welfare of the people. There is nothing wrong in asking for support on a conditional basis," said another AAP MLA.
Meanwhile, reacting to the news of the proposal by the AAP MLA, Delhi Congress's chief spokesman, Mukesh Sharma, said, "Kejriwal betrayed the people of Delhi and Congress is not thinking about extending support to him if his party tries to form a new government.
"We accepted all the conditions set by AAP and extended support to it to stop BJP from coming to power. But were forced to withdraw support as they were resorting to unconstitutional means while trying to push through a bill in the assembly."
AAP had won 28 seats in its debut assembly elections in December last year and later formed the government with outside support from Congress.
The government led by Kejriwal resigned after the party's pet project - the Janlokpal Bill - could not be passed due to opposition from the BJP and Congress.
This, however, apparently did not go down well with the people of Delhi and led to the party's lacklustre performance in Lok Sabha polls.