The local Chipolopolo side had already booked their passage before the game and Mali sealed their spot by claiming a point.
In the other match in the group Zimbabwe were denied a victory over Uganda by a 93rd-minute equaliser.
William Manondo opened the scoring only for Geofrey Serunkuma to level.
Uganda had needed to beat Zimbabwe and for Mali to lose to qualify for the next stage.
Zambia and Mali are both through to the quarter-finals of the African Nations Championship after they played out a goalless draw in Group D.