Congress workers led by Punjab party chief Amarinder Singh Raja Warring and Partap Singh Bajwa gathered outside the Fazilka CIA office where they were denied to meet Khaira.
Several shots were fired outside the Aam Aadmi Party's (AAP) Okhla office on late Tuesday night. Party MLA Amanatullah Khan has alleged that he was the target, police said.
Khan said the shooting was "a desperate act by the Congress supporters".
The incident happened post Tuesday midnight outside the AAP office when three rounds were allegedly fired, police said.
The supporters of the AAP and the Congress clashed outside the party office minutes before the firing.
Deputy Commissioner of Police Romil Baaniya said a call was received at 12.10 a.m. regarding the clash between the workers of the two parties at Batla House Chowk after which the police rushed to the spot.
"Another call was received from AAP MLA Amanatullah about the firing at 12.57 a.m.," the DCP said.
He said that no one was injured in the firing and both parties blamed each other for it.
"Both parties were asked to give written complaint but no complaint was received from them. Action would be taken as per their complaints," he added.