Shinde made a statement in the House on yesterday's blasts saying government will make all possible efforts to apprehend the perpetrators and masterminds.
The opposition was, however, dissatisfied with the statement and accused the government of treating the issue of terror in a "very casual" manner.
Leading the attack, BJP leader M Venkaiah Naidu said, "Government's policy seems to be condolence for the dead and compensation for those who survived."
The Rajya Sabha earlier witnessed acrimonious scenes as Opposition members insisted on a debate before the Home Minister's statement on the issue.
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After the Home Minister read out his statement amid noisy scenes, the House witnessed a verbal spat between Shinde and Naidu with the BJP leader telling the minister that had he been serious on the issue, he would have rushed to the spot immediately after the occurrence last night and come to Parliament in morning.
"You have not done any favour to us. You have done your duty. The incident had happened at 7 pm yesterday. You should have gone there at 8 pm and come back by the morning. That shows your seriousness," Naidu said, who later staged a walkout for a brief period.