At the end of a 20 minute meeting, Mr Turnbull thanked his colleagues and urged party unity.

Earlier today three shadow parliamentary secretaries quit the frontbench in protest at Mr Turnbull's decision to support an emissions trading scheme.

The three are Mathias Cormann, Brett Mason and Mitch Fifield. All sent letters to Mr Turnbull this morning.

Mr Cormann is shadow Parliamentary Secretary for Health Administration, Mr Mason is shadow Parliamentary Secretary for Education and Mr Fifield is shadow Parliamentary Secretary for Disabilities, Carers and the Voluntary Sector.

After earlier rejecting calls to hold a ballot, Mr Turnbull decided to try to settle the issue of his leadership.

He was set to be challenged by former Howard government minister Kevin Andrews. Frontbenchers Joe Hockey and Tony Abbott were not involved in the challenge.

Mr Andrews was basing his tilt for the top job on the fact that a majority of the party was unhappy with Malcolm Turnbull’s decision to push through support for an emissions trading deal.

"For these reasons I will put my hand up if there is a successful motion to have a spill this afternoon,’’ he said.

‘‘A majority of my colleagues in the party room yesterday were of the view that either this legislation should be rejected or that it should at least be delayed until we know what the rest of the world is doing in terms of the meeting in Copenhagen,’’ he said.

Mr Andrews said he was concerned about the direction the Liberal Party was taking under Mr Turnbull.

‘‘What’s important for the leader of the Liberal Party at this stage is to make sure that he or she takes his or her colleagues with them. It’s important that we are united,’’ he said.

‘‘You all know that old saying of Bob Hawke’s, I think it was, that if you can’t govern yourselves, you can’t govern the country.’’