The Borussia Dortmund striker is widely expected to leave the German club this summer, especially with their qualification for next season's Champions League appearing in doubt.
United thought they had a transfer deal tied up for Haaland in January 2020 after Solskjaer flew to Austria to meet his fellow Norwegian, but the striker made a £19.5million move to Dortmund instead.
Solskjaer's Manchester United are one of the many sides believed to be ready to post an official interest, and the Old Trafford boss knows the youngster well from their time together at Molde.
Ole Gunnar Solskjaer insists that talks are continuing over Edinson Cavani staying at United for another year with the former Paris Saint-Germain striker yet to make up his mind.
Manchester United have a solid reputation for giving youngsters an opportunity to shine over the years and Ole Gunnar Solskjaer has kept up that tradition since taking over as manager in 2018.
Sergio Aguero has scored nine goals against Man United for City, but won’t be joining the red side of Manchester next season
Manchester United forward Martial sprained his knee on international duty with France and limped off after 77 minutes against Ukraine on Wednesday March 24.
Sportsmail's IAN LADYMAN and CHRIS SUTTON argue both sides of the coin on whether Ole Gunnar Solskjaer really has what it takes to bring the league title back to Old Trafford.
The former United star believes the Norwegian has made progress despite exiting the FA Cup last weekend
CHRIS WHEELER: Although United recovered to win 3-1, controversy surrounded an incident in the first half when Edinson Cavani's goal was ruled out because Scott McTominay caught Son.
Solskjaer pledged not to overplay Rashford after naming the forward in Manchester United's squad to face Granada in the Europa League quarter-finals despite not being fully fit.
Solskjaer and Mourinho have traded blows since United's win at Tottenham on Sunday after the Red Devils boss hit out at Son Heung-min's reaction to being caught in the face by Scott McTominay.