Alec Baldwinhas met with the family of late cinematographerHalyna Hutchinsfollowing the fatal shooting incident that happened last week on the set of his upcoming film,Rust.

The three-time Emmy Award winner, 63, sat down for breakfast withHalyna’s husband Matthew Hutchinsand their 9-year-old son Andros on Saturday morning at La Posada in Santa Fe, New Mexico, a source tells PEOPLE.

A noticeably somber Baldwin later bid farewell to Matthew and Andros with a hug. “Honestly, he didn’t look good,” the insider shares, adding that the group was “definitely sad” during their breakfast.

Alec Baldwin; Halyna Hutchins.Jim Spellman/Getty; Fred Hayes/Getty

Alec Baldwin - Halyna Hutchins

“I have spoken with Alec Baldwin and heis being very supportive,” Matthew told theDaily Mailon Friday, after Baldwin fired the prop gun that killed Halyna, 42.

“I don’t think there are words to communicate the situation,” he told Insider on Friday.

Halyna Hutchins and family.Matthew Hutchins/Instagram

Halyna Hutchins Husband Matthew Honors His Late Wife In First Instagram Post Since Her Death

“I am not going to be able to comment about the facts or the process of what we’re going through right now, but I appreciate that everyone has been very sympathetic,” Matthew added. “I think that we will need a little bit of time before we can really encapsulate her life in a way that is easy to communicate.”

“There are no words to convey my shock and sadness regarding the tragic accident that took the life of Halyna Hutchins, a wife, mother and deeply admired colleague of ours,” Baldwin wrote in astatementon Twitter on Friday.

“I’m fully cooperating with the police investigation to address how this tragedy occurred and I am in touch with her husband, offering my support to him and his family,” he continued. “My heart is broken for her husband, their son, and all who knew and loved Halyna.”

A source also told PEOPLE that Baldwin was “hysterical and absolutely inconsolable for hours,” and he’s looking “to take some time to himself and re-center himself,” as he cancels his other projects.

“This was pretty devastating. This is how he handles difficult times. Whenever something bad happens, in the short term, he removes himself from [the] public eye,” the insider said, adding: “Everyone knows this was an accident, but he’s absolutely devastated.”

source: people.com