Muleme was handed his full debut after a good show on his first match in the team’s 1-1 draw against Al Mokawloon a week earlier.
He joined Asyouty in a deadline day transfer from Ugandan champions KCCA FC.
Namibian international, Benson Shilongo pulled one back for Asyouty in the 23rd minute, three after the visitors had gone ahead.
Islam Siam added the second in the 37th, Mohanad Mostafa Lasheen fired in the third in 58th before Muleme put his name on the sheet in the 71st.
Omar Kamal completed the rout in the 82nd from the spot.
The win ended Asyouty’s four match winless streak that had seen them draw four consecutive games. The team climbed three places to 10th with 29 points.