The 46-year-old coach has been considered as a replacement for Raul Lozano in Iran volleyball team.
The Iranian federation has already negotiated with Italian coaches Andrea Anastasi and Mauro Berruto, Argentine Javier Webb, Bulgarian Radostin Stoychev and Serbian Igor Kolakovic.
Giani was appointed as coach of the Slovenia men's national volleyball team in May 2015 and led the team to victory in the European Volleyball League, which secured them a spot at the 2016 FIVB Volleyball World League.
In October Slovenia unexpectedly won their first medal on a major volleyball tournament, after reaching the Final of the 2015 Men's European Volleyball Championship where they were defeated by France.
Giani scored numerous successes in the 1990s, including three World Championships with his national team.
He is considered as one of the best volleyball players ever, and surely the most versatile one: Giani was an all-rounder able to play both as outside hitter and as middle blocker, but he played several times as opposite.