The technology giants have taken their patent infringement cases before judges in Australia and the Netherlands, BBC News reports.
Samsung is seeking a ban on iPads and iPhones over 3G patents in The Hague, while Apple's lawyers are claiming that its rival's Galaxy Tab touchscreen interface is in violation of patent infringement.
Apple has previously won several legal victories over its competitor. The Galaxy Tab 10.1 is banned from sale in Germany, and similar legislation against Samsung smartphones comes into effect in the Netherlands next month.
Samsung was also forced to postpone its tablet launch plans in Australia while its legal battle with Apple continues in the territory.
In today's hearing, Apple attorney Steven Burley told the Australian court that the rival tablet resembled the iPad 2 in "form, factor and shape".
He added: "It must have been as plain as the (Sydney) Opera House to Samsung that the Apple patents were right in front of its eyes, and they were wide open."
Samsung recently launched a bid to have the iPhone 5 banned from sale in South Korea, in addition to pending lawsuits in France and the US. It is yet to win a major court victory over Apple.