In Australia, Apple filed suit against Samsung in July 2011, alleging that the company's Galaxy tablet infringed on patents related to touchscreen technology. Samsung subsequently filed a cross-claim against Apple, claiming violation of three 3G data transmission patents in Apple's iPhone 4 and 4S models and second iPad model.

Monday's hearing focused on two of the three patents -- Australian patents No. 2005202512 and No. 2006241621 -- that Samsung alleges Apple has violated. The two patents deal with power control and the format of packet headers used for 3G data transmissions. The court will address patent No. 2005239657, which deals with rate matching patterns used in data transmission, in August.

Apple's relationship with Samsung broke down after Apple filed a lawsuit in California in April 2011 against Samsung related to the Galaxy tablet, Samsung's attorney Neil Young said. Samsung had offered to negotiate with Apple to license the patents on fair, reasonable and non-discriminatory (FRAND) terms.

"Our position is Apple has refused to engage in negotiations," Young said.

Samsung asked Justice Annabelle Claire Bennett to separate the company's cross-claim hearings from Apple's tablet allegation. The trial is scheduled to run through the end of the week, with other sessions scheduled through October.