The UK has offered a larger potential "divorce bill" to the EU – which could be worth up to 50bn euros (£44bn), the BBC understands.
There has been no final agreement on a number but the offer was given a "broad welcome" by Brussels, BBC political editor Laura Kuenssberg said.
No 10 has played down reports the final figure could be up to 55bn euros (£49bn).
The offer was communicated to Brussels after last week's cabinet meeting.
The amount of money the UK will pay as part of Brexit has been one of the main sticking points in the first round of negotiations with the EU.
In September Theresa May suggested the UK was willing to pay about 20bn euros, and the EU has been calling for its offer to be increased.
The UK is hoping to move on to talking about trade but the EU will only do this when it deems "sufficient progress" has been made on three areas – the so-called divorce bill, the rights of EU citizens in the UK after Brexit and the Irish border.(BBC)