The chief opposition whip yesterday proposed that Parliament present its own road map to help promote national reconciliation.
The prime minister's proposed road map for reconciliation was also "too difficult to put into practice", he said.
During the joint meeting of the Senate and the House of Representatives, Witthaya suggested that the Parliament president form a committee consisting of members from both chambers to prepare its own peace plan. The proposal would then be forwarded to the prime minister for his consideration.
The chief of the opposition whips also presented a three-point road map prepared by the Pheu Thai Party.
nParliament should draft a peace plan and act as a mediator between the government and the red shirts.
nClear dates should be set for House dissolution and the next election.
nThe road map should be developed into a "social contract" agreeable to all sides.
The chief coalition whip, Democrat MP Witthaya Kaewparadaim, expressed support for the proposal for national reconciliation but was concerned about "the volatile situation outside of Parliament", referring to the lingering red-shirt protest despite the government's proposed road map.
"The atmosphere in Parliament is improving. But it depends on our sincerity whether we will reach our goal," he added.
Senator Supot Phothongkham said he believes his colleagues would cooperate in drafting the blueprint for restoration of peace in the country.
Earlier in the day, a senatorial meeting decided to postpone until Monday the vote on endorsing the findings of a parliamentary committee investigating the October 7, 2008 bloody police crackdown on yellow-shirt protesters.
Some senators complained the probe report was skewed and could demoralise the police force. They said the probe results failed to include certain facts, such as an Administrative Court ruling that the protest outside of Parliament was not peaceful according to the Constitution.
However, the Senate agreed by a 56-36 vote to endorse the investigative report for the red shirts' attack on yellow-shirt protesters in Udon Thani earlier that year.