On its part, the Congress party said it does not approve of any remarks made against the prime minister, apparently in a reference to the "neech" remark made by its MP, Mani Shankar Aiyar.
The proceedings of both Houses of Parliament were repeatedly disrupted over the past two weeks over remarks by Modi during the Gujarat assembly election campaign. He had criticised his predecessor Singh for attending a "secret" dinner with senior Pakistan officials at Aiyar's residence.
In Rajya Sabha, Leader of the House Arun Jaitley said Modi in his statements and speeches,"did not question nor did he mean to question the commitment to this nation either by Dr Manmohan Singh, the former Prime Minister, or Hamid Ansari, the former vice president."
"Any such perception is completely erroneous. We hold these leaders in high esteem, as also their commitment to this nation," Jaitley said.
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Earlier, the Upper House was adjourned in the morning due to protests over Union minister Ananthkumar Hegde's remarks on secularism and changing the Constitution.
Responding to his statement, Leader of Opposition in the Rajya Sabha Ghulam Nabi Azad said: "I want to thank the Leader of the House that he issued a clarification on the issue which was causing the deadlock."
"If during the elections, any member of our party gave such a statement that was against the stature of the prime minister, then our party dissociates itself from any such statement and we would not want any word to be said against the stature of the prime minister," Azad said.
After the two statements, Chairman M Venkaiah Naidu thanked all members of the House for their cooperation in resolving the stalemate.
However, Samajwadi Party leader Naresh Agarwal stood up to object, charging that the fate of the proceedings in the House could not be decided based on statements by only two people.
To this, Naidu said, "We discussed it in the morning in the business advisory committee. Every member of the House is important. Let us not sidetrack the issue".