After picking Rino Gattuso to replace Iachini, Fiorentina are focused on their squad for next season, with the midfield receiving attention in the early stages.
In addition to Porto's Oliveira, the Tuscan club are considering Tiemoue' Bakayoko who has played for Gattuso at both Napoli and Milan.
Fiorentina have made an initial inquiry with Chelsea who own the rights to the former Monaco midfielder, the Tuscan club are looking to see if the Blues would be open to another loan deal after his recent experience at Napoli.