Sharks emerged 4-2 winners on penalties and Muluya says that their opponents gave them a tough outing at Kenyatta Stadium.
Idd Wasike scored for Bungoma Super Stars before Eric Kapaito levelled matters seven minutes to the end of the regular 90 minutes.
In the shoot-out, Kariobangi Sharks goalkeeper Gad Mathews managed to save two penalties to hand his side the win. Hillary Simiyu and Boniface Munyendo failed to beat Mathews in goal.
“Of course, being a knockout match you can tell the psychological boost the Bungoma Super Stars side had. It is a good side that gave us a run for our money," Muluya told Goal after the match.
"But the match was not over until the penalties and I believe penalties are part of scoring so we did score and of course the goalkeeper had a good day.”