Odion Ighalo and Islam Slimani are two of a number of players Manchester United have looked at as they try to bring in a striker on loan following the long-term injury to Marcus Rashford.
Former Watford forward Ighalo is with Chinese club Shanghai Shenhua and has two years left on his contract while Slimani is on loan at Monaco from Leicester.
Nigeria international Ighalo goals in 55 Premier League appearances for the Hornets before securing a move to Chinese League One in 2017, Skysports report.
Slimani has 13 goals in 46 appearances for his parent club Leicester but has been loaned out to Newcastle, Fenerbahce and Monaco since his arrival at the King Power Stadium in 2016 from Sporting Lisbon.
Speaking ahead of an FA Cup tie at Tranmere, Solskjaer insisted the club was still working on reinforcements in a “difficult” market.
“It’s not going to be a quick fix. And it’s not going to be like eight players in or 10 players in one transfer window,” he said.