The meeting hogged the limelight as it came a day after Kirti Azad, who had responded saying he was suspended for fighting corruption, said the Marg Darshak Mandal should take cognisance of the issue.
They contended that the gathering ought to have sent a show cause notification to Azad, waited for his reply and then acted after a due meeting of the party's parliamentary board.
The action came eight years after Azad unleashed a campaign to expose what he said was massive corruption in the Delhi and District Cricket Association (DDCA), which Jaitley headed for 13 years till 2013.
The BJP suspended Azad on Wednesdaym, charging him with indulging in anti-party activities and accusing him of "colluding" with the Congress and the Aam Aadmi Party to bring it into "disrepute".
Yesterday, party chief Amit Shah oraxered his suspension for publicly targeting Jaitley with allegations of irregularities in Delhi's cricket body DDCA. It is unfortunate that I was targeted for speaking the truth.
"Talking about his meeting with Party president Amit Shah last week, he said", I told him that I was holding back by my press conference till Sunday and I offered that the two parties (he and Jaitley) be made to sit across".
A veteran was quoted by a news organisation, where he said that the issue related to Azad's suspension will be considered as the background of the meeting.
The suspension of Kirti Azad has troubled the Bharatiya Janata Party (BJP) at a time when Prime Minister Narendra Modi is in Russia to attend the 16th India-Russia annual summit.
"I am an MP; I raised some concerns and I have been suspended".
A defiant Azad has maintained that his fight was only against alleged corruption in the DDCA and not against any individual.
They also suspect that Congress President Sonia Gandhi might have prompted Azad to rake up the issue.
Azad earlier stated he would reply to the suspension discover right now with the assistance of party chief Subramanian Swamy.
The four veterans, who met for about an hour at Mr. Joshi's residence, are understood to have also discussed the Kirti Azad issue.
"The BJP leader said the opposition has no real issues to target the Modi government "which is taking the country to the new path of development".