Speaking to reporters, Gogoi said, "Our doors for peace talks with the ULFA are open, but then they have to abjure violence and give up the demand of sovereignty."
"If they give up violence, we shall welcome them with open arms and if they continue with their armed struggle then we shall continue to be very tough," he said.
ULFA chairman Arabinda Rajkhowa and deputy commander-in-chief Raju Baruah were arrested on Friday, Dec 4.
"The family members of the ULFA leaders are free and there are no charges against the wives of the arrested militants. They are with the Assam Police and they are free to join their family members whenever they feel like," Gogoi added.