Apple "argued that VirnetX is improperly trying to secure an overly broad injunction so that it can be used to extract a massive licensing fee," Law360 reported.
However, VirnetX's post-trial demands PDF are in the public record.
The dispute stems from a jury ruling in February that favored VirnetX in respect to the four patents at issue.
VirnetX, according to a court filing, wants those services blocked because of "lost sales and reputational harm caused by Apple's distribution of the infringing features."
VirnetX has been saying for years that it has plans to market various products, but for the time being, its income comes from licensing patents.
It has about a dozen employees and leases a small office in Zephyr Cove, Nevada for roughly $5,000 a month, according to a recent yearly financial statement.