This is the clearest sign yet that Atletico Madrid are trying to shut down a late-window scramble.
That matters. When a club turns away interest from domestic rivals as well as an overseas bidder, it usually means the player is viewed as central to the season ahead, not as an asset ready to be moved.
For Arsenal, the attraction is obvious: Alvarez would offer mobility, pressing and flexibility across the front line. But the current read is that interest alone will not be enough.
That leaves Arsenal in a waiting game. Unless Atletico soften or the player increases the pressure, this looks more like a difficult pursuit than an imminent deal.
The key issue now is whether Atletico Madrid can hold the line if Alvarez keeps pushing for an exit. For the moment, the club’s message is firm and public-facing: no sale. The next storyline is simple - whether that stance survives the final weeks of the window, or whether Arsenal are forced to turn decisively to other attacking targets.