AAP chief along with party members Manish Sisodia and Kumar Vishwas met Najeeb Jung on Saturday.
"We have asked for 10 days time to take decision on the matter," AAP chief Arvind Kejriwal told media persons outside the Lt Governors residence.
The Lt Governor invited AAP after the BJP declined the offer to form the government in the state as they didn't have a majority. BJP secured 31 seats and fell short of a clear majority in the 70 member house.
AAP obtained 28 seats in the Delhi assembly elections.
The Congress, which bagged eight seats, said they are ready to give unconditional outside support to the AAP.
AAP writes to Sonia Gandhi, Rajnath Singh
Kejriwal added the party has written to Congress chief Sonia Gandhi as well as BJP president Rajnath Singh, seeking their stand on specific issues pertaining to Delhi.
"We have written a letter to Sonia Gandhi. We have also written a letter to Rajnath Singh," said Kejriwal after meeting Delhi Lt Governor Jung
"We did not ask for your support. What is their intention? What is in their mind?" he said while referring to the BJP and Congress. Both the parties have offered support to the AAP to help them form the government.
Kejriwal said that the Congress as well as the BJP should make their "stand clear" on 18 issues that they have raised.