Jadon Sancho could be the wide-man Solskjaer looks to sign, though Liverpool and Chelsea are among the abundance of other European teams tipped to sign the England international.
Elsewhere in midfield, the United boss has scouted Lille defensive midfielder Boubakaray Soumare, though Chelsea also like the look of the Frenchman.
Discussing his long-term plan at United, Solskjaer said this week: “For me, we do have a way of doing things.
“Of course you can see other teams have done well.
“Jurgen [Klopp] spent four years building his [Liverpool] team and they’re doing well now. I’ve said it so many times, it’s not going to be a quick fix.
“It’s not going to be eight or 10 players in, in one transfer window.
“We’ve had one proper transfer window in the summer, because the January ones are difficult. But we are trying to do something now.”