8pm Update: The BBC News Channel has just featured a clip of David Cameron speaking after the meeting, in which he said:
"He [the Prime Minister] is wedded to a system where you pay MPs to turn up and do their job... it's completely untransparent and I don't think the British public will accept that."
8.30pm Update: Sky News has just played a further clip of David Cameron saying:
"What we should do is get rid of the second home allowance and instead have a transparent parliamentary allowance where we say you only get money - and less money than is available at the moment - if you produce receipts for a very strictly controlled number of things. I want no more claiming for stamp duty or furniture or flat screen televisions or patio heaters. Let's deal with the abuses that way. And let's have a clear declaration from all MPs, this is where I live and this is why I require expenses to allow me to do my job."
Sky report that the Conservatives will table a motion in the Commons next week proposing the allowance as described by Mr Camron above, which will only allow MPs to claim for rent, utility bills, council tax and mortgage interest payments on a second home. In addition, husband and wife MPs will only be able to claim once.
Immediately after a post-Budget address to Conservative MPs early this evening, David Cameron dashed off to the meeting with Gordon Brown to discuss the proposals on MPs' expenses and allowances which the Prime Minister announced yesterday.
In the wake of that meeting, a Tory source has told ConservativeHome tonight that the party leadership will oppose Brown's reform of expenses. After what was described as an "unsatisfactory" meeting with the Prime Minister, the leadership has decided that Mr Brown's proposed daily allowance does not give taxpayers sufficient value for money or transparency.
The Conservatives are prepared to support certain measures such as the removal of second home allowances for ministers in grace and favour properties - a reform which was in fact first proposed by David Cameron - but want voters to be able to Google MPs' expenses.
The leadership has not yet decided how to whip Tory MPs on the issue (although traditionally such issues would be decided on a free vote).