Within Avid you could use the AniMatte effect. Take a section of the clip where there is no reflection and put it on a video track above your main clips. Use the Animatte to draw a mask around that window w/o reflection and it will sit above the other content. This could fix some of the problem, but if there are a lot of reflections this can be pretty time consuming. Also, if there is a lot of movement you will be tracking quite a bit. Give it a try, but also remember that if it is really subtle and does not happen too much, your audience may not notice at all. In after effects I would probably try the same thing, I like AE’s masks better than Avid’s. Good luck.