As soon as an in-house meeting for party workers got underway, a heated exchange of words began between the two groups.
Functionaries led by Saidai Muthamizh questioned Senji Rajendran as to how the meeting was being held without consulting him, the local area president of the party.
Rajendran, party in-charge for Saidapet Assembly constituency, however said the meeting was organised as per directives of senior functionaries.
While Muthamizh's group are loyalists of 'Karate' Thiagarajan, a follower of Chidambaram, Rajendran is a loyalist of Elangovan.
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"This is the third such meeting in the city. Supporters of party state president Elangovan never consult us before going ahead with such meetings," a senior state Congress leader told PTI, voicing support for Muthamizh.
Another state leader said Rajendran had every right to hold the meeting as the in-charge of the constituency.
Police said they received a complaint from Rajendran and after investigation a case was registered.