Turns out, Julian and Guy are pretty good friends -- and after that insane comeback, the Patriots star spotted Guy and his kid on the field ... and wanted to give them a game-used souvenier!

Guy says his kid was PUMPED -- but as fate would have it, he didn't get to keep them that long ... because days after the game, they got a call from someone very important asking to hand them over.

The Fieris complied -- but don't worry, the gloves are in a very cool place ... and Edelman made sure he got some cool replacement gear.

It's good to be a Fieri!