The meeting took place on a scheduled day off for Carrick and his players, with the club’s senior figures expected to consult co-chairmen Joel and Avram Glazer and minority owner Sir Jim Ratcliffe as they weigh their next move.
Eddie Howe and Julian Nagelsmann have emerged as leading candidates should United decide to make a change. Howe, formerly in charge of Newcastle United, is understood to be a preferred option for Wilcox, while Nagelsmann is also highly regarded within the club’s recruitment structure.
The defeat to Bournemouth was United’s sixth in 12 matches across all competitions this season. It intensified scrutiny of Carrick, whose team have struggled for consistency after securing Champions League qualification under his leadership last season.
Carrick has 18 months remaining on the two-year contract he signed in May. He said after the Bournemouth match that he had not held any substantive discussions with Berrada or Wilcox about his position, although he acknowledged the seriousness of the situation.
“Just briefly they came down like they always do after a game, but nothing out of the ordinary,” Carrick said.
“I totally understand the situation. I'm not expecting anything either way. I’m carrying on as normal. I love this place. I'll always do what I feel is going to be the best for the football club and I won’t change that now, whatever decision is made.
“It's a tough situation, there's no hiding from it. What it looks like and what's next I really don't know. I love what I do and I feel the responsibility. We'll have to wait and see.
“Of course, I take responsibility. I respect the position that I'm in, and the responsibility is mine. What else can I say really right now?
“I've tried to do everything I can to not be in this position, of course I have. For a number of reasons, we've not been able to stop that happening to the position we're in right now.
“I've been at the club a long time. It hurts an awful lot to see us going through this at this moment in time. The situation is where we are and we haven't had results or performances that have been good enough.
“I'm feeling it for my players, they're going through a tough spell. There's a lot of emotion in the changing room right now, there's a lot of the boys quite hurt, to be fair.
“It's not like they don't care or they want to be in this position. The ones I've spoken to, it’s affecting them a lot.”
Carrick’s future has become increasingly uncertain after a run of poor results, with United also having exited the Carabao Cup against Brighton. They are not due to play again until Saturday’s Premier League trip to Chelsea, giving the club time to assess its options before the next fixture.
The Manchester United hierarchy has yet to announce a decision. Carrick, meanwhile, insists he will continue to work as normal while the club determines whether he remains the right person to lead the team.