Sinn Fein's Michelle O'Neill has stated that a United Ireland is within grasping distance.
Speaking in Derry, the party's leader in the North has also said she wants to see political institutions back up and running, but they have to serve all people equally.
Meanwhile, the DUP leader Arlene Foster, doesn't want Brexit to 'pull up the drawbridge' between the North and the Republic.
She also added that she thinks of the Republic and Northern Ireland like a semi-detached house, saying they look the same on the outside, but that things are done differently inside.
"But no matter how contrasting the interiors are, they are tied together and part of the same neighbourhood and what happens on one side of the fence inevitably has an impact on the other."
She was speaking at the Killarney Economic Conference today.