Last week, Apple won a court ruling blocking sales of the Galaxy Nexus - the first phone to run Google's Android Ice Cream Sandwich operating system, which will soon upgrade to latest Android 4.1 Jelly Bean.
However, Korean electronics giant Samsung is appealing the ban on seven grounds, including that Apple is unable to prove that its market share is being hit by US sales of the smartphone.
The dispute is part of a global-spanning legal row between the world's two biggest players in the $219 billion global smartphone market.
They have both accused each other of copying the other's designs and patented technology, resulting in court battles on four continents.
Not even court-arranged peace talks between the chief executives of both companies in May could bring an end to what is becoming an increasingly bitter battle.
Apple has already secured a ban on US sales of Samsung's Galaxy 10.1 tablet computer, after accusing Samsung of having "slavishly" copied the design of its own iPad.
In addition, Apple is seeking a ban on as many as 25 Samsung smartphones, including the latest Galaxy S3.