Abdullah sought have his deputy, Datuk Seri Najib Tun Razak, appointed his successor, Bernama news agency reported. However, it wasn't clear whether the country's head of state, Yang di-Pertuan Agong Tuanku Mizan Zainal Abidin intended to do so.
"It's a matter for Tuanku," Abdullah told reporters after the hour-long meeting at the palace.
Abdullah had served as prime minister since 2003 but resigned after recent elections failed to give his Umno party the level of support needed to continue.
2014: The Year in Music [PHOTOS]