Il Corriere dello Sport says Milan and Brugge officials will meet this week in an attempt to thrash out terms for the Switzerland international.
Milan management now regard Jashari as a priority target, knowing offers are now arriving from across Europe.
Milan have had a €20m offer rejected by Brugge, which rate Jashari closer to €45m.
However, there is hope of a compromise being reached during this week's meet over a fee of €35m.
On stand-by are the negotiations for Javi Guerra of Valencia and Granit Xhaka of Bayer Leverkusen. For now, both players are strictly backup options.