After the race, Williams duo Logan Sargeant and Alex Albon needed medical treatment, while most drivers said it was the toughest event in which they had ever competed.
The position of the race in the calendar, some six weeks earlier than 2021's inaugural Qatar GP and thus guaranteeing hotter conditions, came in for criticism.
However, the timing has already been addressed for 2024, with the event moving back to 1 December.
On the Monday after the race, the FIA noted that it had "begun an analysis into the situation in Qatar to provide recommendations for future situations of extreme weather conditions".
Domenicali subsequently wrote to GPDA chairman Alex Wurz, in essence thanking the drivers for their efforts in Qatar, and noting that they were incredible athletes.
He also explained that this season's scheduling was unavoidable and reminded them that the date has moved for next year.
It's understood that the GPDA appreciated the fast response from Domenicali and there has been ongoing dialogue between the Italian and Wurz on the subject.
"Of course there was some discussion going on together, and also with the GPDA," said Alfa Romeo's Zhou Guanyu. "A lot of drivers obviously putting some complaints, and also some advice for going forward.
Source: Autosport