Well it would depend on the fae in question. I do like the trickster kind though, and he could send the team on a completely pointless mission that would still be as dangerous as any real mission.
I remember a donald duck comic, where he was send to deliver a package over a certain route, only to later discover, that he was carrying spice samples for an add and he was travelling along the "spice route" which was what the whole thing was about.
Your trickster could send the gang on an equally "important" mission, to go somewhere and retrieve any harmless item, but spread the rumor, that they are returning an item of great power for him to rule all of faery. If the rumour is spread far enough, the wrong persons would know about it and send teams of their own.
He might even provide them with "great weapons" that he hands them very ceremonially, only it later turns out the sword is made from cardboard (and glamoured to appear real), the "bow that doesn't need arrows" does indeed not need them, but it doesn't fire anything whatsoever, and so forth.
Edit:
I would like to call this mission "just in thyme"...