CUPE national president Paul Moist and Local 1393 head Dean Roy met with University of Windsor president Alan Wildeman in private Wednesday.
The meeting indicated a possibility there could be some movement in the strike between the union and university that has been at a stalemate for a month.
The union called the meeting "cordial" and said both sides agreed talks have to resume.
CUPE told CBC News they may continue to work with a mediator to determine whether the two sides can get back to the negotiating table.
The latest round of talks broke down late Saturday when, according to the union, the university walked away from discussions.
Wildeman told CBC News he has a “very good discussion” with Moist.
“We have a good understanding of what the issues are,” he said.
But he added, “there is a gap in the outstanding issues.”