AB InBev and SABMiller were not immediately available for comment when contacted by Reuters.
Distell approached the Competition Commission with allegations that the merged entity removed competitors' advertising material from retail outlets, among others, the tribunal said in a statement, adding that the Commission found there was no breach.
Distell has now asked for a detailed review and for a full investigation to be conducted, the competition regulator said.
The tribunal said that it will consider Distell's submissions during a hearing scheduled for Thursday and Friday.
SABMiller argues that Distell's complaint is an "attempt to restrict competition and is unrelated to the merger conditions" and that the complaints "have no merit and should be dismissed," the tribunal added.
South Africa cleared Anheuser-Busch Inbev's $100 billion (80.93 billion pounds)-plus deal to acquire SABMiller in 2016 https://www.reuters.com/article/us-sabmiller-m-a-abinbev/south-africa-clears-ab-inbevs-takeover-of-sabmiller-idUSKCN0ZG1DH. The sale of SABMiller's Distell stake was a condition of the Competition Tribunal's approval of the merger.
The merger brought together AB InBev's Budweiser, Stella Artois and Corona brands with SABMiller's Peroni, Grolsch and Pilsner Urquell and brews almost a third of the world's beer, dwarfing rivals Heineken and Carlsberg.
(Reporting by Justin George Varghese in Bengaluru; Editing by Howard Goller)