The 33-year-old midfielder joined Esteghlal from Machine Sazi on a six-month contract for an undisclosed fee.
Teymourian started his playing career with Oghab F.C. in Iran's Azadegan League, and continued his professional career playing for F.C. Aboomoslem in the Iranian Premier League.
He represented Iran national football team in 2006 and 2014 World Cups.
Teymourian signed a two-year deal with FA Premier League club Bolton Wanderers after the 2006 World Cup and has also played at Fulham and Barnsley.
Ando has played in Iranian clubs Tractor Sazi and Saipa and Qatari clubs Al-Kharitiyath and Umm Salal.