There is no way to reduce the reverb. Once there, there it is.
What you can do, perhaps, is to reduce its effect on the recording.
If your recroding sounds too bright careful use of EQ is your friend. Play around with reducing high frequencys and you might get a better sounding result. General recommendation (there is never any general case though) is to use the EQ to reduce, not to increase.
It might as well be a good idea to cut really low frequencys, say from 30Hz and below. Generally there is nothing down there that normal speakers or headphones can reproduce anyway. Depends on which mics you used though if there is anything down there.
Reverb tails, the part sounding after the music has stopped, can often be reduced. It is at best a tedious work as you need to apply a fade out to each and every place.
// Gunnar