Sinn Féin Leader in the north, Michelle O'Neill, insisted that any DUP-Tory arrangement should not be allowed to undermine the peace process.
The party's northern leadr Michelle O'Neill said: "We were very clear with the prime minister that any deal with herself and the DUP can not undermine the Good Friday Agreement".
May is looking for support from the DUP after failing to win a majority for her Conservative Party in last week's elections.
The British Prime Minister Theresa May has met with Northern Ireland's five main parties, as a deadline to form a power-sharing executive at Stormont looms.
The 1998 Belfast Agreement, also known as the "Good Friday" Agreement commits the United Kingdom and Irish Governments to demonstrate "rigorous impartiality" in their dealings with the different political traditions in Northern Ireland.
He added that today's meeting with Mrs May was Sinn Fein's first visit to No 10 without Mr McGuinness.
A Conservative source said there was so far no deal to announce and that a decision on the timing of any announcement would only be made once an agreement is finalised.
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Mrs May needs the votes of the DUP's 10 MPs to prop up her minority administration.
"Both the Government and the DUP have refused to implement key agreements on language and equality rights and dealing with the legacy of the past".
The delay could push back the Queen's Speech, initially scheduled for next Monday.
A senior Conservative source said: "We are making a lot of progress".
Ms Foster, who travelled to Westminster for talks with the Tories on Tuesday, said she hoped a deal could be reached "sooner rather than later".
Mrs May added: "My government remains absolutely committed to doing everything we can to help take this process to a successful conclusion, remaining steadfast to our commitments in the Belfast Agreement and its successors".
"I say that not just because of some of the views of the DUP that, perhaps not all of us, but many of us feel deeply uncomfortable about, but I also say that because of a real concern about the disregard that is being shown for the Northern Irish peace process".
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