The former prime minister, who began work engaging with the IRA to end the Northern Ireland conflict, said the peace process was still "fragile" and cautioned the pact could mean the Government will no longer be seen as impartial.
Meanwhile, Downing Street said that talks between Theresa May and the DUP over a confidence and supply deal had been "constructive".
"I will be making it very clear that any deal between the Tories and the DUP can not be allowed to undermine the Good Friday and subsequent agreements".
But the Government will press ahead with the first round of Brexit talks two days before the official opening of Parliament.
After failing to achieve a majority, May is set to meet with the Democratic Unionist Party of Northern Ireland on Tuesday to cobble together a deal to ensure her minority government can get its Queen's Speech - a key annual event in which the government lays out its policy agenda for the coming year - through Parliament. But party president Gerry Adams has called the DUP-Tory alliance chaotic and he said on Monday that a referendum on Irish unity was inevitable.
It calls on the governments in London and Dublin to be neutral in their dealings over Northern Ireland.
The Irish republican Sinn Fein party which won seven seats in the election although MPs traditionally do not take up their seats in protest is also wary of the alliance.
Some have also called into question the United Kingdom government's role as a mediator in the Northern Ireland peace process, with a possible DUP presence in the executive potentially leading to bias during a political vacuum in the region.
"This new arrangement is very unsettling and people are concerned and anxious about what it may mean, or what promises may be given".
"My preoccupation is that time is passing - it's passing quicker than anyone believes".
"We never put timescales on when we expect a deal to be done and I'm not going to start now".
'I think there will be pressure for a softer Brexit, ' added Cameron who quit past year after Britons voted to leave the European Union, against his advice, in a referendum that he had called.
"I think there will be pressure for a softer Brexit", Mr Cameron added, saying that Parliament "deserves a say" on the issue.
"But we do want to do so in the national interest to give stability to the government and that's why we will be entering these negotiations", she said. "The current uncertainty can not continue", he said on Twitter.
With formal European Union divorce talks due next week, May heads to France on Tuesday to meet Emmanuel Macron, who last month swept to victory in the presidential election.
The draft law would empower Europe to decide if post-Brexit London has the right to host financial market "clearing houses" that deal in euros, the EU's single currency.
The two leaders also discussed the fight against terror, and said they would launch an Anglo- French campaign to help firms clamp down on online hate speech.
If she proves as steady and believable as she did Tuesday, the jury may be hard-pressed to see this trial any other way. She panicked when she tried to move her legs, realizing she couldn't get up. "I was in no state of mind".
A furious President Lonsdale returned and overturned the pardons, and then dissolved parliament and called a snap election. Vanuatu's President Baldwin Lonsdale has died at the age of 67 after a sudden heart attack, RIA Novosti reports.
Documents released in April show that Trump is the beneficiary of the trust and is allowed to draw money from it at any time. President Donald Trump's Washington hotel saw nearly $20 million in revenue during its first few months of operation.
It did not provide additional details on the sale but Bloomberg reported it could involve as many as 36 warplanes. While standing squarely behind its ally, it has been anxious not to antagonise Saudi Arabia.
Access to fight the fire was limited, but fixed wing aircrafts and boats were being brought in to fight the flames. The fire is in an area with hard access near the 5 Freeway and Ridge Route Road, LACFD Capt.
BB8 ended up being a popular toy for Sphero and now the company has announced another one, the new Sphero Spider Man Toy. It's Spider-Man, but not really found in the same form Sphero has been engineering, because he's not a robot per se.
But prosecutor Kevin Steele told the jury they need look no further than the kinky comic's own words about the night in question. But jurors still heard plenty from him as prosecutors read them excerpts from his 2005 police statement and civil deposition.
His trainer Chad Brown has 20-1 shot Twisted Tom, who brings a three-race winning streak into the race on his home track. Jose Ortiz was aboard Tapwrit on Saturday for the jockey's first victory in a Triple Crown race.
In disputed Kashmir, claimed by both India and Pakistan , the cricket tournament has already caused discord. India have never lost to Pakistan in the final - or a knockout game - of a major ICC tournament.
Cosby maintained that Constand was a willing sexual partner and she hid the fact that the two had a romantic relationship. Cosby's lawyers argued that he and the woman, Andrea Constand , were lovers and that the encounter was consensual.
Record smashing Thomas grabs US Open lead
Justin Thomas shot life into a tournament that deserves it because this year's event is one of the best in recent memory. Thomas's 9-under 63 in the third round was one better than Johnny Miller's 63 in the 1973 final round at Oakmont.
U.S. naval warships arrive in Qatar
Also on Wednesday, two USA naval warships sailed into Doha to take part in joint military exercises with the Qatari navy. Qatar's ambassador to the United States, Meshal Hamad al-Thani, posted a picture of the signing ceremony on Twitter.
MLB Draft: Day One Thoughts
The Cardinals also took LSU shortstop Kramer Robertson, son of Baylor women's basketball coach Kim Mulkey, in the fourth. That interval shrinks to zero on Wednesday, with no time in between picks for rounds 11-40 on the draft's final day.
Shot US Congressman Scalise in Need of Additional Surgery
Griner remains hospitalized at MedStar Hospital after getting shot in the ankle, and Sava described her in good condition. Scalise is still in the hospital, reportedly in critical condition with broken bones and damage to his internal organs.
'I wanted it to stop,' accuser tells Cosby trial
June 6, 2017. "The job now is for the two sides to prove their cases and I accept whatever verdict is handed down". She felt "terrible" about it, she said, especially when her mother brought Cosby some Canadian souvenirs.
Gloria Allred to Bill Cosby: "Round 2 is coming"
Comedian Aparna Nancherla, who frequently posts social commentary, tweeted, "Ask women again why they don't report their rapes". The next day they expressed "concerns" to court officials, though the judge did not reveal the substance of their complaints.
May nears deal with Northern Irish 'kingmakers'
The talks are being closely watched in European capitals as they could delay the expected start of Brexit negotiations next week. Meanwhile, Labour leader Jeremy Corbyn has demanded details of any Conservative-DUP deal, calling it a "nonsense situation".
Scalise has more surgery as authorities track shooter's path
Scalise, 51, is among four people shot by a gunman at a House Republican baseball practice Wednesday in the Washington suburbs. He received multiple units of blood, said Sava, who declined to describe the exact nature of Scalise's internal injuries.
New Zealand level with US in America's Cup final
But the Kiwis came off their foils during a hard maneuver and slowed dramatically in light, shifty wind, losing half their lead. Team New Zealand managed to hold on following a failed protest from Oracle.
US Judge Declares Mistrial in Bill Cosby Case
Cindra Ladd, one of the 13 who could not take the stand, issued a statement thanking Constand for "her leadership and courage". The case was the only one to result in a criminal trial , largely because the other accusations are now too old to prosecute.
Deputy AG: No cause to fire special counsel Mueller
Ruddy was at the White House on Monday, but he did not meet with the president, White House Press Secretary Sean Spicer said. He added that fundraising records show some of the lawyers whom Mueller selected for his team have contributed to Democrats .