US-based lawyers for Digicel want a court to dismiss a complaint by US-based Haitian emigrants who accuse it of being part of a "conspiracy" to divert taxes on telephone calls.
Digicel has strongly denied any wrongdoing.
Digicel is one of five businesses and several current and former political leaders of Haiti being sued in New York by the Haitian emigrants over an alleged "scam".
The case revolves around levies that the Haitian government applies to all international phone calls and money transfers to and from the country.
A fee of $1.50 is automatically added to every money transfer, while an extra five cents per minute is added to every international call, including those connected on Digicel's network.
The cash is purportedly to fund free education in Haiti, but the complainants allege the money has disappeared.