According to reports, Glasner is interested in AC Milan's Strahinja Pavlovic as a potential replacement for club captain Marc Guehi.
Guehi is expected to leave Crystal Palace at the end of the season, despite the team qualifying for the Europa League next year.
As a result, Glasner is searching for a new player and sees Pavlovic as a suitable replacement.
Crystal Palace is willing to make an initial offer of £25 million to acquire Pavlovic, who is currently valued at £40 million by AC Milan.