Bregman had already apologized by the time position players reported to spring training Monday.
The fallout, however, continued as players around the league reported to their respective camps.
Bregman said he wasn't going to try to make excuses or point the finger at anyone else for what's happening to the Astros.
Players have said they lost respect for the Astros and view the team differently.
It doesn't sit well with this group, which prides itself on having that respect from peers.
It's one thing for the media to be critical for the Astros, but it's an entirely different issue to have the likes of Mike Trout, Anthony Rendon and Cody Bellinger speaking out so emphatically.
Those are players the Astros have battled against quite a bit over the years -- Trout as an American League West opponent with the Angels; Rendon and Bellinger in the Astros' two World Series appearances over the past three seasons.
On Monday, Bregman said he's received support from some players around the league, though he did not name them. Trout said some of the Astros had reached out to explain themselves, or clarify media reports, though he did not name which players.
"I've actually gotten a lot of people who really know me and know who I am, said they're here for us, here for me," Bregman said. "I really appreciate that. It's been a tough four months for everybody. Just trying to learn from everything and grow."
When asked how he felt about players being so vocal about their distaste for what happened, Bregman put the accountability on the Astros.
"I really don't want to say anything about anybody else. I just want to worry about my team," Bregman said. "I think everybody has the right to say whatever they want to say. We put ourselves in that position. I think what we can do moving forward is learn and work extremely hard to regain the trust of baseball fans.