Last week, Apple won a jury decision that ordered Samsung to pay the iPhone company more that $US1 billion in damages for patent infringement.
In addition to financial restitution, Apple is seeking a ban on Samsung phones that infringe the company's patents.
Apple is most concerned about eight Samsung smartphones - the Droid Charge, Galaxy Prevail, and various Galaxy S and S II models - but may take further action against other Samsung devices that were found to infringe upon its patents.
Samsung executives said "We will take all necessary measures to ensure the availability of our products in the US market."
This may include further legal action or modifications to the affected products, and Samsung has already indicated that it has developed workarounds for two of the patents that relate to software features.
The hearing is set for December 6.