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Smartphone rivals Apple and Samsung returned to a federal courtroom this week to resume their long-running patent dispute.

The latest trial kicked off in San Jose, Calif., after a judge last year found the jury instructions in the original 2012 trial misstated the law and ordered a new trial.

The 2012 case resulted in a jury ordering Samsung to pay more than $1 billion in damages to Apple for infringing on patents for the iPhone. But the award was curbed by a retrial the following year, and the U.S. Supreme Court set aside a portion of the damages after ruling that they could reflect either individual components of a product or the entire product itself.

Samsung attorneys, according to Bloomberg, argued this week that the damages should be paid based solely based on three "narrow" design patents — which would amount to $28 million.

Attorneys for Apple, however, said the jury should award some $1 billion to the iPhone maker based on overall sales of Samsung's devices.

The U.S. Supreme Court last year also rejected a request from Samsung to reconsider a $120 million award from 2014.

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