Among UA European destinations, Brussel is not the busiest, so UA often has availability for award travel to Brussel when nothing else is available. Summertime is usually busier, so, if you plan to travel in the summer, you might want to book well ahead of time. If UA reservation agents tell you that there is no availability for the dates you want, keep trying. Eventually some space may free up.
Another European city with decent award availability could be Paris (was last year anyway); from there, it's a relatively quick train ride to Brussels. Award travel to Italy seems to be the least available on UA (at least in the summer).
Good luck
honu
[This message has been edited by honu (edited 01-14-2000).]