The left-back played in the Red Devils’ 2-1 quarter-final loss at Molineux nine days ago.
United’s last chance at domestic silverware vanished as their exit left Manchester City as clear favourites to clinch the trophy.
Solskjaer’s team can still potentially win the Champions League, with a quarter-final tie against Barcelona to come next month.
But the FA Cup loss hit Shaw hard as United lost successive games under their interim manager for the first time.
Solskjaer admitted the game at Wolves was his team’s worst performance since he replaced Jose Mourinho, insisting the 2-0 Premier League blow at Arsenal the week before was not performance-related.
United have vastly improved on the whole under the Norwegian’s leadership, though, and he has been praised greatly for his man-management skills.
In dealing with Shaw, who has arguably been one of United’s most consistent players throughout the season, Solskjaer had an honest discussion over the Wolves defeat and the bigger picture.
The news of Shaw’s talk with the Red Devils manager comes as:
“Luke took the Wolves defeat pretty bad”
Man Utd source
An Old Trafford source is said to have told The Sun: “Luke took the Wolves defeat pretty bad.
“Ole had a chat with him to try and pick him up. It was long and frank and he was trying to keep him going.
“Luke felt he and the rest of the defenders allowed Wolves into the game.
“Ole and Luke spoke after he had dealt with the main squad. They have a good relationship and get on really well.
“It wasn’t anything serious but it just shows how much all the squad care for Ole and what he has brought to the club.”
Shaw pulled out of international duty with England this week due to a slight injury.
But he could well feature for United when they host Watford in the Premier League on Saturday (3pm).
The Red Devils can bounce back from their FA Cup setback by maintaining their charge for Champions League qualification, as they head into the game with Watford two points behind fourth-placed Arsenal.