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The Ibrox side are not expected to splash the cash in January after chairman Andrew Cavenagh played down the prospect of another major spending spree. But that could make the Bosman market increasingly important as Rangers look to strengthen.
And Fallenius is a name which refuses to go away. The 25-year-old is out of contract on New Year's Eve and Rangers have again been touted as a potential destination if he leaves Djurgarden.
But his uncertain future has now become a flashpoint with his own supporters.
Fallenius was booed while warming up ahead of the clash with IFK Gothenburg and revealed he alerted security staff after taking exception to the abuse.
He told Aftonbladet: "There was harassment when I was warming up.
"I just wanted to show our security officers that it was not okay, and of course they agree. It was special, but I still think I was able to handle it quite well.
"Criticism is one thing and I can take that. It's part of playing for a big club. But the incident itself was something I couldn't tolerate.
"But we in the team have had a good dialogue, so it's nothing that's weighing on me too much, but it was important that we brought it up."
The Djurgarden supporters' group also hit out at those responsible, insisting their treatment risked driving players away from the club.
Their statement read: "The stands are a place where great emotions belong. But it is our players who are at stake, and they have taken us to a table position that, to be honest, is better than anyone dared to hope for.
"We know that it affects the squad and that it makes players doubt their future here, and that is unacceptable."
Sporting director Maximilian Hahn has meanwhile kept his cards close to his chest over Fallenius' future.
He told Fotbollskanalen: "We're keeping it simple and I don't want to talk to the media about the contract situation. It's something between us and the players. I don't want to talk about foreign interest.
"I don't expect anyone to leave, but I always expect there will be interest in our players."
Fallenius has previously confirmed discussions over a new deal but also admitted he has ambitions to test himself at a higher level, leaving his future firmly up in the air ahead of the January window.