He confirmed that he'd been in contact with Alec following the tragedy. Matt, who has an 8-year-old son with Halyna, said: "I have spoken with Alec Baldwin, and he is being very supportive."
Court documents have revealed that the Hollywood star was handed a loaded weapon and told it was safe to use on the set of Rust.
The actor was given the weapon by an assistant director who indicated it was safe.
An affidavit signed by Detective Joel Cano of the Santa Fe County sheriff's office confirmed that the assistant director shouted "cold gun" - meaning the weapon didn't have any live rounds in it.
The firearm was one of three prop guns prepared by the armourer and set up outside on a cart.
The assistant director "did not know live rounds were in the prop-gun", according to the affidavit.
Halyna died in hospital from her injuries, while the film's director, Joel Souza, was wounded in the shoulder and treated in hospital before being discharged.