It looks like the on-again off-again An-70 transport project is back on, with Russia and the Ukraine signing agreement to restore development to the aircraft. (see also here)

Given the problems with that Airbus A400m, being at least 2 years late, 12 tons (!) overweight, and short on promised range and cargo as a result of these problems, the AN-70 has an opening here.

They both fly at the same speed, but that Antonov flies a bit further with a 20 ton payload 6,600 km as versus 6390 km, has a bigger max payload, 47 metric tons as vs 38 metric tons, which would seem make it very competitive, though its contra-rotating props are doubtless louder, and hence more of an issue for people living near their bases in western nations.