Blizzard have confirmed that PlayStation 4 owners will be able to remote play Diablo III via the PlayStation Vita.
The news was confirmed by the official Diablo twitter account which stated:
"Will Remote Play on the PS Vita be available for #D3 Ultimate Edition on #PS4?" The answer is yes, and it's awesome! pic.twitter.com/Rg059nXZMF
— Diablo (@Diablo) November 12, 2013
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Source: CVG
