PNP chief Director General Ronald Dela Rosa presented suspect Taha Mohamed Al-Jabori, an alleged bomb expert, at Camp Crame Monday.
The Iraqi embassy previously alerted the Philippines about the suspect who is allegedly working for the Hamas militant extremist group.
According to Dela Rosa, the suspect came to the Philippines in August 2017 during the ASEAN Summit and the Marawi siege.
Authorities have yet to determine the suspect's reason for travelling to Manila.
Dela Rosa said the suspected terrorist will be deported back to Iraq as he is already overstaying in the country.
--report from Henry Atuelan and Bianca Dava, ABS-CBN News