The meeting was significant in view of the fact that Raju's predecessor Kapil Sibal achieved little success in getting the Opposition onboard on the matter despite several attempts.
Raju had last month received letters from some Opposition members expressing their reservations about the bills, contending that the legislations infringe on the rights of the states, sources said.
He is expected to reach out to some other parties shortly to develop a consensus as the passage of these bills holds key to expedite reforms in the higher education sector, they said.
The contentious Educational Tribunals Bill, 2010 is also listed for consideration. Sibal had to face some embarrassing moments during the 2010 Monsoon Session in Rajya Sabha when members from his own Congress party raised objections about some of the the provisions in the bill.
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Lok Sabha had passed the legislation which seeks at setting up tribunals to address problems related to higher education in the current session.
During this session, the ministry plans to introduce The Indian Institute of Information Technology Bill, 2013.
The National Institute of Technology (Amendment) Bill, 2013 for upgrading of BESU in Howrah, West Bengal to the IIEST was introduced last week in Rajya Sabha.