Chris Mugalu, who scored from the spot when the two teams met in the group's first game, headed over the bar after he received a cross from Miquissone.
Shomari Kapombe did well to find some space before he placed the ball onto Miquissone's path and the Mozambican was able to produce a cross high enough for Mugalu to head home in the 15th minute.
Another chance for Simba came in the 17th minute when Miquisonne and Mugalu found themselves inside AS Vita's area but the former's effort hit the side net.
Miquissone, who scored a brilliant goal against Al Ahly that was later voted as the goal of the week, tried a similar trick in the 21st minute but Ousmane Ouattara read him well and stole the ball as the forward was about to pull the trigger.