Sources say 10 MPs named in the house for their "gross disorderly conduct" are likely to face action.
Members of the AIADMK and DMK reportedly tore copies of the house bulletin while others from Andhra Pradesh loudly protested against the creation of Telangana by dividing their state.
The upper house was adjourned four times before lunch, once just a minute after the members gathered for the day's business.
"What you are doing is wrong...unruly. I am sorry," said PJ Kurien, the deputy chairperson of the Rajya Sabha.
The MPs named for disrupting house on Friday were from TDP, AIADMK and DMK.
The vandalism by MPs surfaced on a day President Pranab Mukherjee described Parliament as the "Gangotri" that linked the people and the government. "If Gangotri gets polluted, neither the Ganga nor any of its tributaries can stay unpolluted. It is incumbent upon all Parliamentarians that they maintain the highest standards of democracy and parliamentary functioning," he said at a function.
Last week, four days were wasted in disruptions.
The Congress has 39 bills on the agenda, including a proposal to create a new state, Telangana by carving it out of Andhra Pradesh.
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