The meeting comes a day after Ansari, who is sports minister of the state, said that he was elected by 44 of the 64 affiliated units as the president.
This was immediately challenged by the Abdullah group which moved court and got a stay order.
Abdullah today once again asserted that the new body was illegal and vowed to fight it through legal channel.
However, Abdullah, who was elected president of the body for a three-year term in May 2014, termed yesterday's election as illegal saying the present state government headed by Mufti Mohammad Sayeed was indulging in "goonda raj".
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"I am very sorry that the present government instead of worrying about people and situation are further dividing people. They think by (using) the government (machinery), they will indulge in goonda raj (hooliganism)," the former Chief Minister, who has been the president of JKCA since 1980, said.
The faction headed by Abdullah yesterday obtained a court order from Jammu which kept the fresh elections in abeyance till next date of hearing on July 31.
"They broke the locks and unfortunately they had the DIG with them. Can you imagine is that what the government is for? It was a completely government maneuvered thing and I feel very sad that Mufti Sahib has come down to this level which I did not expect from him," Abdullah said.