Kouka had just played with Alanyaspor on Sunday conceding a heavy 5-0 defeat against Fenerbahce while Hamed and Hegazy helped Ittihad Jeddah claim a precious 2-0 win against Al-Khaleej on Thursday.
Liverpool winger Mohamed Salah, Trabzonspor forward Mahmoud Trezeguet, Wolfsburg forward Omar Marmoush and Nantes striker Mostafa Mohamed are set to join the team in the next few hours.
Egypt coach Rui Vitória has announced a 27-man list to play Niger and Liberia on 23 and 27 September.
The Pharaohs will also face Belgium in another friendly in November.
Egypt's squad
Goalkeepers: Mohamed El-Shennawi (Ahly), Ahmed El-Shennawi (Pyramids FC), Mohamed Sobhi (Zamalek)
Defenders: Karim Fouad, Mohamed Abdel-Moneim (Ahly), Ahmed Hegazy (Ittihad, Saudi Arabia), Omar Gaber, Ali Gabr, Osama Galal, Mohamed Hamdi (Pyramids FC), Mahmoud El-Wensh, Ahmed Fattouh (Zamalek)
Midfielders: Hamdi Fathi, Ayman Ashraf (Ahly), Tarek Hamed (Ittihad Jeddah, Saudi Arabia), Mahmoud Hamada (Pharco FC), Eslam Eissa (Pyramids FC), Ahmed "Zizo" El Sayed, Emam Ashour (Zamalek), Mohamed Ibrahim (Ceramica Cleopatra), Abdel-Rahman Magdi (Ismaily), Mahmoud Trezeguet (Trabzonspor, Turkey), Omar Marmoush (Wolfsburg, Germany)
Strikers: Mohamed Salah (Liverpool), Ahmed Kouka (Alanyaspor, Turkey), Marwan Hamdi (Masry), Mostafa Mohamed (Nantes, France)
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