Can a person killed by Death Soul Reaper be brought back to life through Reanimation?
Yes and no!

The Death Soul Reaper Jutsu (aka Dead Demon Consuming Seal) (aka Shiki Fūjin) is a sealing technique. While the soul is sealed with the Death Gods belly, it can not be resurrected using Impure World Resurrection.

However, like most sealing jutsu shown in the series, there is a way to release the seal. This is done by the using the using the releasing jutsu along with a particular mask from the Uzumaki clan. After the soul is released, it is possible to revive them using Impure World Resurection as shown by Orochimaru when he revived all the previous Hokage and his arms after the Third Hokage had sealed them using Dead Demon Consuming Seal.

source:
http://naruto.wikia.com/wiki/Dead_Demon_Consuming_Seal:_Release