On Sunday, Amirabdollahian held talks with Grundberg who was visiting Tehran as part of an official visit.
The two diplomats discussed the latest developments in Yemen, a country beset by more than eight years of war.
Yemen has been under attack by Saudi Arabia and its allies since March 2015. There has been a lull in the fighting in recent months amid negotiations for peace.
Iran has repeatedly called for the cessation of hostilities and for finding a political solution to the political disputes in Yemen.
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