Today's in-chambers hearing before Justice Sarah Katz at the Auckland High court is expected to cover timetabling issues.
Sky TV chief executive John Fellet said he believed one or more Hollywood studios would join the legal action.
In a joint statement last week the four companies said they were requesting an expedited hearing to provide certainty on the issue as quickly as possible.
"This is not about taking action against individual consumers," the statement read.
"Our companies invest over $300 million annually in content rights, we have an obligation to our various stakeholders to protect those rights and are confident of our legal position."
The four businesses are also liaising with studios and content owners to determine how they might participate in the legal action.
Earlier this month CallPlus co-founder Annette Presley told the Herald that New Zealanders were paying too much due to a lack of choice and the company would not "kowtow to bullies."
"But if they just fixed the issue so that New Zealanders could get decent overseas content - which I get the minute I arrive in New York and the minute I arrive in Sydney - why can't we have it."
Read also:
• Determined CallPlus co-founder Annette Presley dares to think big
• M2 buys CallPlus for $250m
-additional reporting John Drinnan