The Portuguese centre-half has spent only one season at Ibrox, making just 20 apperances for the in an injury-hit campaign.
Despite his lack of game time, he was selceted for Portugal's World Cup squad as the European champions failed to get past the last-16 stage with a loss against Uruguay, but Alves did not feature for the team in the competition.
According to 'Sky Sports', the player is now set to switch Glasgow for northern Italy, undergoing a medical with the Serie A side.
Alves knows the Italian league well, having joined Rangers from Cagliari, and it seems as though Steven Gerrard is keen to let the player return there having already completing the signings of Nikola Katic and Connor Goldson in his position.
The 36 year-old has played all over Europe following an initial stay at Porto in his home country Portugal, going on to play in Greece, Russia, Turkey and of course Italy.