"We congratulate the people and government of Spain on the well-deserved success of their national football team and its World Cup championship," Pezeshkian said in a post on his X account on Monday.
"The joy of the friendly nation and government of Spain is the joy of the people and government of Iran," he added.
In a separate message, Qalibaf congratulated the presidents of Spain's Senate and Congress of Deputies on the Spanish national team's World Cup victory.
Qalibaf praised Spain's support for the Palestinian people as well as the Spanish players' solidarity with Palestine, saying such positions reflected the country's commitment to justice and human dignity.
He also expressed appreciation for Spain's backing of the Islamic Republic of Iran during the US-Israeli war of aggression.
"The defense of the Palestinian nation by your country and the players of the Spanish national team, together with Spain's support for the Islamic Republic of Iran during the third imposed war, demonstrated that the spirit of freedom and resistance to domination are among the defining characteristics of your wise and respected nation," the Iranian parliament speaker said.