According to the report carried by Kuwait state news agency Kuna, al-Sabah received Iran’s Ambassador to Kuwait City Alireza Enayati in his palace on Monday.
During the meeting, a letter was delivered addressed to him from the Iranian president, it added.
The news agency did not give any detail about the letter’s contents.
Back in January, Kuwait’s foreign minister paid a visit to Tehran and delivered a message from the emir to the Iranian president, calling for dialogue between Iran and Persian Gulf Arab states.
According to reports, Rouhani replied to the message in the letter delivered by the Iranian ambassador.
In February, the Iranian president visited Oman and Kuwait on his first visit to the two Persian Gulf states since taking power in 2013.