Saipa coach Majid Jalali asked the club’s officials to negotiate with the veteran midfielder.
Nekounam has already worked under Jalali at Iran’s Pas and won the IPL title in 2003-4 season with the team.
Nekounam, who has announced his retirement from international football in late March, is a member of Osasuna football team at the moment.
The 34-year-old player has also played in the Emirati clubs Al-Wahda and Al-Sharjah and Iran’s Esteghlal.