The note was delivered to the Romanian envoy due to the request of Mansouri's family and regarding Romani's responsibility in protecting his life besides the need for answering the public opinion, reports say, according to Mehr News Agency (MNA).
In the message, Iran called for the acceleration of medical investigations over the case by Romania.
The Romanian envoy, for his part, vowed he will inform Iran about the measures taken by his respective country.
On June 20, Iran’s Foreign Ministry confirmed reports on Mansouri’s death.
According to the information Iran received from Interpol in Bucharest, Mansouri had jumped out of the hotel window to his death.
Romania’s police said Mansouri had fallen to his death in what preliminary investigation indicated was a suicide. However, circumstances around his death are uncertain at the moment, but preliminary reports indicate that he apparently fell out of a window in the Duke Hotel at 2:30 p.m. (1130 GMT) on Friday.
The fugitive judge had earlier visited the Iranian Embassy in Bucharest to discuss possible ways to return to Iran.
Iranian Judiciary spokesman Gholamhossein Esmaeili announced on Saturday that Mansouri, accused of receiving €500,000 in bribes, had been arrested in Romania, and his extradition had been disrupted over the coronavirus pandemic.
Placed under judicial control, Mansouri was due to appear before a Romanian court on July 10 regarding the Iranian extradition request.
Mansouri was arrested in Romania last week but was residing at the Duke Hotel in Bucharest, the capital, while the police monitored him.
He was accused of corruption and taking more than $500,000 in bribes.
According to preliminary reports, Mansouri apparently fell out of a window at a hotel in Bucharest.