Before attending the opening of a US-Northern Ireland trade conference in Londonderry, Ms Mowlam told reporters that the meeting had been "productive".
"We have made it clear all along that we want inclusive talks and what I do want to do is to make it as possible as we can for Mr Paisley and his party to join the talks because that I think would make them stronger," she said.
"His voice would be heard so much more inside the talks than outside. I want to make it clear that we want to talk, but we cannot have parallel talks because there is a talks process at work."
Ms Mowlam said she would announce details of the work of the Ulster Parades Commission on Friday.
"It is a complicated, difficult issue because we have to faceReuse content