The Kadima faction on Monday unanimously rejected Eli Aflalo's demand to split from the party and form a one-man faction.
Faction members called on Aflalo to remain in the party and for Kadima leader Tzipi Livni to hold talks with him.
During the meeting, Aflalo blasted Livni, exclaiming, "I don't trust you and I have many doubts about your leadership."
He also claimed he had "proof that you and your people tried to work against me in the primaries."
An argument also broke out between Livni and Kamima No. 2 Shaul Mofaz about alleged irregularities in the primaries.