Based on the wiki, the biggest Patriots trade story for 2026 is already completed: they traded for A.J. Brown from the Eagles, and he's listed on their May 20 depth chart (from the New England Patriots page).
As for active rumors, the wiki mentions the Patriots as a potential suitor for Maxx Crosby — ESPN insider Dan Graziano named them among four possible fits (alongside the Cowboys, Bills, and Bears) ahead of the trade deadline. That's the latest ongoing rumor involving the Patriots as of the wiki's coverage.
So in short:
- Completed trade: with the Philadelphia Eagles (A.J. Brown)
- Rumored trade target: the Las Vegas Raiders (Maxx Crosby)
No other active trade rumors with other teams are documented in the wiki right now.