Mrs Foster arrived with colleague Nigel Dodds and waved to reporters in Downing Street but refused to be drawn on whether she would agree to a deal on Tuesday.
The Prime Minister needs the votes of the 10 DUP MPs to prop up her minority administration as she hopes to steer government business – including crucial measures on Brexit – through the Commons.
But Theresa May’s election result, which saw her turn her a majority government into a minority administration, has thrown the start of Brexit negotiations into question, as well as the sort of Brexit and future relationship the United Kingdom is now seeking.
She said: “Discussions are going well with the Government and we hope soon to be able to bring this work to a successful conclusion”.
The BBC reported that a deal with the DUP was expected to be signed on Wednesday.
Sinn Fein has also claimed that a Tory-DUP alliance could damage powersharing talks in Northern Ireland, which has been without an executive since March and without a first and deputy first minister since January.
The Prime Minister may not be present as the talks continue because she is heading to Paris for a meeting with newly elected president Emmanuel Macron.
Labour leader Jeremy Corbyn countered with a bit of previously unforeseen swagger, wearing a huge red rose – his party’s symbol – in his lapel as he sparred with May.
May, who ahead of the June referendum supported remaining in the European Union, has promised to start the formal Brexit talks next week but opponents of a sharp break with the European Union took her woes as a chance to push back against her strategy. May’s insistence on a clean break with the EU.
Mrs May’s authority has been severely diminished after a disastrous general election which saw her lose her Commons majority and a deal with the DUP looks vital for the continuation of Tory rule.
Scottish Conservative leader Ruth Davidson said the government should put economic growth at the heart of its Brexit strategy, while some senior ministers have pushed for less focus on immigration and more on jobs.
Davis told ITV he’s loyal to May and there’s a distinction between “running a campaign and running a country”.
But May faces a hard balancing act: Divisions over Europe helped sink the premierships of Margaret Thatcher, John Major and David Cameron, and many of her lawmakers and party membership support a sharp break with the EU.
Labour’s unexpectedly strong second-place showing has thrown national politics into disarray.
May is under pressure to take on a more cross-party approach to Brexit talks.
“The Tory civil war on the European Union which has ripped it apart since the Maastricht rebellions of the early 1990s, and which the referendum was supposed to solve, is now raging again”, said Chris Grey, an academic who specialises in Brexit at Royal Holloway in London.