Yunus will have the title of chief advisor, according to Haid Islam, one of the leaders of Students Against Discrimination who participated in the meeting.
Shahabuddin agreed that the interim government “will be formed within the shortest time” possible, Islam told reporters.
Islam described the meeting as “fruitful”.
However, there were few other details about the planned government, including the role of the military.
Yunus, who is currently in Europe, told AFP on Tuesday he was willing to lead the interim government.
“If action is needed in Bangladesh, for my country and for the courage of my people, then I will take it,” he said in a statement, also calling for free elections.
The first major step Yunus should take is to bring back normalcy in the country, said Amit Ranjan, research fellow at the National University of Singapore’s Institute of South Asian Studies.
“Unless peace and law and order are established, it will be very difficult for any government to run the country,” he told CNA’s Asia Now.
“His first priority should be to restore peace and silence the protesters.”