Because I was having this problem for the past week, and found a solution that worked for me, figured I'd post it here.
Someone wrote a FBX importer plugin for Blender.
Export Maya FBX, import directly into blender
Plugin here: http://blenderfbx.render.jp/
I had a rigged mesh, complete with weighting exported from Maya in FBX, and that imported it into blender quite well!