Image copyright Reuters Image caption DUP leader Arlene Foster met EU negotiator Michel Barnier on Tuesday

The Democratic Unionist Party's 10 Westminster MPs are planning to vote down the Budget later this month if they are unhappy about the government's Brexit plans, the BBC understands.

Theresa May relies on DUP support in key votes because she does not have a majority in the House of Commons.

But the DUP could abandon this deal if Brexit means new barriers between Northern Ireland and Great Britain, Newsnight's Nick Watt said.

The Budget takes place on 29 October.

If the DUP voted against it the government would face possible defeat, which could lead to a no-confidence vote.

Earlier it abstained - rather than backing the government - in a vote on the Agriculture Bill in what a DUP source said was a "warning shot".

The UK and the EU have yet to strike a deal on how Brexit will work, with less than six months to go before the UK leaves on 29 March.

One of the key things they have not yet agreed is how to prevent there being new border checks between Northern Ireland and the Republic of Ireland, which is a member of the EU.

There have been warnings that a new "hard border" will damage businesses and undermine peace in Northern Ireland.

The DUP has dismissed the warnings about the peace process. It says it will not tolerate the EU's suggestion of Northern Ireland staying in line with EU customs rules to enable trade to flow freely across the border.

Mrs May has also rejected this proposal, saying it would undermine the integrity of the UK.

Visiting the European Parliament, DUP leader Arlene Foster refused to say whether her MPs would vote against the Budget after being asked several times by reporters.

She reiterated that she would not accept any new barriers to trade going in either direction between Northern Ireland and the rest of the UK.

Barnier sets out EU's plan

EU chief negotiator Michel Barnier, meanwhile, said there would have to be new checks on goods travelling between the EU and the UK because of the UK's decision to leave the EU's single market and customs union.

The EU and UK have agreed that these checks "cannot be performed at the border" and the EU proposes to carry them out "in the least intrusive way possible", he said.

"Both the EU and UK exclude having a physical border on the island of Ireland," he said.

"Therefore, what will arrive into Northern Ireland will also be arriving in our single market.

"There will be administrative procedures that do not exist today for goods travelling to Northern Ireland from the rest of the UK. Our challenge is to make sure those procedures are as easy as possible and not too burdensome, in particular for smaller businesses.

"I understand why such procedures are politically sensitive but... Brexit was not our choice, it is the choice of the UK. Our proposal tries to help the UK in managing the negative fallout of Brexit in Northern Ireland in a way that respects the territorial integrity of the UK."

He said that under the EU's proposed "backstop" to prevent a hard border, companies in the rest of the UK sending goods to Northern Ireland would fill out customs declarations online in advance.

"The only visible systematic checks between Northern Ireland and the rest of the UK would involve scanning the bar codes on lorries and containers, which could be done on ferries and at transit ports," he said.

While regulatory checks on industrial goods could be done at company premises, checks on live animals and animal products had to happen at the border, he said, which would mean a "significant increase in terms of scale" to existing checks.

DUP 'won't be bounced'

Newsnight political editor Nick Watt

Losing a budget vote has traditionally been seen as a withdrawal of confidence in the government. One former Tory cabinet minister told Newsnight: "The DUP should be putting the fear of God into Downing St."

The DUP is growing alarmed because it fears Downing St is edging towards a deal with the EU that may lead to additional regulatory checks on goods travelling between Great Britain and Northern Ireland.

Michel Barnier, the EU's chief negotiator, has called for such checks to avoid creating a hard border between Northern Ireland and the Irish Republic. This would be achieved by aligning Northern Ireland with the rules of the single market.

The prime minister has strongly rejected the Barnier plan. But senior DUP sources fear that Downing Street may agree to some form of regulatory checks.

One DUP source told Newsnight: "If we are not happy with what happens next week [in Brussels] we won't be bounced into anything. If she doesn't take our concerns on board, we will take the view that Theresa May is not the leader to take us through to a safe Brexit."

Read Nick's blog

On Twitter former foreign secretary Boris Johnson, one of the leading critics of Theresa May's Brexit strategy, responded to reports of a new "backstop" arrangement being negotiated between the UK and the EU.

It would make the UK "a permanent EU colony" with "no right to escape" from the EU's single market and customs union, he claimed.

But Mel Stride, the financial secretary to the Treasury, told the BBC the government had a "very strong position" that there would be "no border down the Irish Sea".

He predicted the UK was heading for a deal with the EU and would be keeping the DUP "on board".

"There is no difference between our position on the substantive issue," he added.