The Official website of the President, in a message addressing the "Proud athletes and heroes of the national football team!", conveyed his appreciation to the coaching staff led by head coach Carlos Queiroz, and the players.
"You fought for the realisation of a great nation's dreams and made yourself proud with admirable self-confidence. You bring honour to the nation whose name is interwoven with heroism and championship and is grateful for its athletes' self-sacrifice.
"I wish all athletes of our country growing success in different athletic fields."
Iran ended their Russia 2018 Group B campaign with a 1-1 draw against Portugal on Monday, to finish with four points in three matches, just a point below European giants Spain and Portugal.
It was Iran's best performance ever at the World Cup.
Iran defeated Morocco 1-0, were unlucky to lose by the same score to Spain and were valiant in the 1-1 draw with European champions Portugal.
Team Melli's performance against Portugal, and the tournament overall, saw Iranians taking to the streets of Tehran and other cities to show their appreciation on Monday.