Canada midfielder Dwayne De Rosario could join Freddie Ljungberg in training with Celtic ahead of the January transfer window.
Toronto midfielder De Rosario, 32, has been offered to Hoops boss Neil Lennon as he looks to strengthen his squad.
Ljungberg, 33, trained with Celtic on Monday after declaring himself ready to play in Sunday's Old Firm derby if the Glasgow club follow up their interest in him.
De Rosario could follow if Lennon likes what he sees from the midfielder, who has scored 15 goals in 55 international appearances.
Lennon told the Evening Times: "Dwayne might be another one who we may be able to bring in for a week or so to have a look at him.
"He's a player who has been put to me. I've not had time to see much of him. But hopefully today I will get the chance to view some footage of him to see what I think."
Lennon has not ruled out signing both Ljungberg and De Rosario.
He added: "I'm not saying we are going to sign everyone who comes our way, and I'm not saying this is a done deal.
"But it might just be a little bonus for us along the way without it costing us the earth."
De Rosario had a short spell with German side FSV Zwickau early in his career but has played in Major League Soccer for almost a decade, turning out for San Jose Earthquakes and Houston Dynamo before signing for Toronto.
Former Arsenal and West Ham midfielder Ljungberg finished his MLS season with Chicago Fire in November after a summer move from Seattle Sounders, and appears keen to return to Europe.
His agent claimed at the end of the MLS season that up to 12 European clubs had expressed interest in signing him and Celtic defender Jos Hooiveld was impressed with what he saw of the Swede in training on Monday.
"He was in very good form," Hooiveld told www.fotbollskanalen.se. "We want players who can provide something extra and Freddie looks like he can do that.
"I know nothing about whether he will sign but he showed in training that he can be something special for us."
Celtic have also been linked with another Swedish winger, 22-year-old Malmo player Guillermo Molins.
Reports in Sweden claim Celtic have been tracking the Uruguayan-born wide man, who has won two caps for his country.
