The American firm is seeking a ban in Australia on the sale or promotion of the latest Galaxy, which it claims infringes on patents relating to its touch screen technology.
Samsung disputes the allegations and has launched a counter-claim alleging Apple's iPhone and iPad 2 Tablet violate wireless technology patents held by Samsung.
The companies are already embroiled in a patent dispute over smartphones and tablet computers in the United States, with both sides filing infringement claims against the other, while legal action is also ongoing in South Korea.
Apple won its battle with Samsung in Germany last month when a court ruled the Galaxy Tab 10.1 had copied the iPad, and banned it from sale in that country.
The Australian ruling could come as soon as this week.
- AFP