The Liberal Party base has sent Prime Minister Tony Abbott a strong message on race issues which could have significant implications for his push to recognise Aboriginal people in the constitution.

The party's federal council has supported a motion to eliminate any references to race in the constitution.

Conservative Liberals said it put the base at odds with the Prime Minister on the issue of constitutional recognition.

The council also passed a motion calling on the Government to remove the words "offend" and "insult" from Section 18C of the Racial Discrimination Act.

Last year Mr Abbott shelved such plans, saying they had become a "complication" in the Government's relationship with the Muslim community.

Ken Wyatt calls for end to 'deafening silence'

The moving of the motions comes just days after Liberal MP Ken Wyatt called for an end to the "deafening silence" on the place of Aboriginal and Torres Strait Islander people in the nation's founding document.

Mr Wyatt made the comments as he tabled a much-anticipated report, with support from the Government, Labor and the Greens, on progress towards a referendum on Indigenous recognition in the constitution.

The joint parliamentary report has emerged from years of consultations across the country and has been preceded by other detailed examinations of the case for a referendum.

It will provide a frame of reference for further discussions the Prime Minister and Opposition Leader will have with selected Indigenous representatives in Sydney early next month.

Mr Wyatt and his committee strongly endorse moving forward to a vote.

"We are now down to the gritty details of how recognition should look and the process we should take for it to be successful," Mr Wyatt said.

"The referendum cannot and must not fail."

Federal council votes not to debate climate change motion

Meanwhile, the federal council voted not to debate a contentious motion about climate change.

The motion called for a parliamentary inquiry to examine the scientific evidence underpinning the theory of man-made climate change.

The motion was put forward by the council's Regional and Rural Committee.

Victorian Liberal Party powerbroker Michael Kroger moved that the motion be referred to an internal policy committee, but said it was not because he wanted to avoid a debate on the floor of the conference.