Published Monday, 30 June 2014
His comments come as parties prepare for a new round of talks at Stormont on Wednesday.
The DUP leader said: "Confidence is low in terms of what the outcome might be. And certainly the feedback from the street is very worrying.
"As soon as you start telling a community that we give into violence then you just ask other people in the community to say: 'Well, if violence is what decisions are based on then we can have more violence' and other people can give violence.
"That is completely the wrong message to be sending out."
Deputy First Minister Martin McGuinness said: "At the minute, what we are hearing is very worrying in terms of the meetings that are taking place between the combined Unionists and the Parades Commission.
"It appears not just to the Parades Commission - but in other meetings - threats are being issued about what will happen if the Parades Commission decision doesn't go the way they want it. So I think threats are not the way to go forward."
This could be one of those weeks that sets a test for politics and policing.
Brian Rowan in his blog: Talking and events
Meanwhile UTV Political Editor Ken Reid said that there was no great expectations about forthcoming talks on flags, parades and the past.
He said that they would be facilitated by Paul Sweeney, a permanent secretary at the Department of Education.
The talks, which will be held at Parliament Buildings, will last three days before breaking for the weekend and recommencing next Tuesday.
He added: "We will just have to see how it goes.
"The only thing that could change it would be some kind of resolution on the Ardoyne situation.
"They will keep working on it - but I don't think there will be any resolution before 12 July and we already know that the DUP and the Ulster Unionists won't talk about or agree anything on the past until the Hallett Report is issued and that's not until 17 July."
© UTV News