The move follows a jury verdict that Samsung Electronics infringed three of its patents. Apple is seeking a US sales ban on some older models of the South Korean company's smartphones.
The nine devices targeted by Apple for a US sales ban include the Admire, Galaxy Nexus, Galaxy Note, Galaxy Note 2, Galaxy S2, Galaxy S2 Epic 4G Touch, Galaxy S2 Skyrocket, Galaxy S3 and Stratosphere.
Apple, which on May 2 won $120 million of the $2.2 billion it sought, identified nine devices it wants barred in a May 23 filing with US District Judge Lucy Koh in San Jose, California.
Of course Apple is unlikely to win the ban. Koh has twice rejected the iPhone-maker's requests. To make matters worse the jury also concluded that Apple infringed one of Samsung's patents and the Galaxy-maker has not yet requested a ban of Apple gear.
Both sides are now facing the fall out of plummeting global smartphone shipments. Samsung sales fell 31 percent from 32 percent a year earlier, according to Strategy Analytics.
Apple's share fell to about 15 percent from almost 18 percent in the same period, while Chinese producers such as Huawei and Xiaomi have been making gains.