The Power and police are seeking more details on the case, with Channel Seven reporting the alleged abuse came from a fan on the scoreboard hill.
Houli, who was born in Australia to Lebanese parents, was allegedly told he was a terrorist.
A practicing Muslim, Houli launched the Bachar Houli Cup three years ago to allow Islamic based students an opportunity to participate in an Australian football competition.
The 26-year-old is a multicultural ambassador for the AFL.
Port Adelaide released a spectator code of conduct in June reinforcing its commitment to creating a safe, comfortable and exciting game-day experience for all members and supporters.
"The club will not tolerate vilification or unruly behaviour of any form and reserves the right to revoke memberships or casual game-day tickets should any offence be committed and should a situation warranting a ban arise," the club said in a statement on Tuesday night.
Port Adelaide urges anyone with more information relating to Sunday’s alleged incident to contact the club.
