Halyna Hutchins' husband and son previously reached a settlement with Baldwin and Rust Movie Productions last October.
“We want accountability and justice for them.”
“The settlement was for Matthew and his child,” Allred explained.

Alec Baldwin is both an actor and producer in the Western film ‘Rust’.Jim Spellman/Getty Images
Co-counsel John Carpenter added that the family may soon travel to the U.S. as part of the lawsuit.
Allred said at the press conference that she may merge both cases together later down the line.
EW has reached out to Allred for further comment but did not immediately hear back.

Alec Baldwin and Halyna Hutchins.Presley Ann/Getty Images; Mat Hayward/Getty Images
Reps for Baldwin declined to comment.
The Hutchins family lawsuit is one of many legal challenges stacking up against Baldwin in recent weeks.
His lawyer, Luke Nikas, called the charges against the actor “a terrible miscarriage of justice.”
We will fight these charges, and we will win."