A woman mourns next to coffins during the burial ceremony of the Ethiopian Airline Flight ET 302 crash victims at the Holy Trinity Cathedral Orthodox church in Addis Ababa, Ethiopia, March 17, 2019.
The Transportation Department's inspector general is also looking into the FAA's approval of the Boeing 737 Max, a USA official told AP.
The system is created to bring the plan's nose down in the event the 737 is at risk of stalling - but can have catastrophic results if sensors receive erroneous information.
Ledwaba emphasised that immediately after the Ethiopian Airlines crash, SACAA started its engagements with Comair and Boeing.
Boeing has said that in the aftermath of October's Lion Air MAX 8 crash, it has "been developing a flight control software enhancement for the 737 MAX, created to make an already safe aircraft even safer".
There are clear similarities between the two crashes.
The FAA finds itself in the hot seat, especially over its decision to certify the 737 MAX without demanding additional training.
The answer to this question depends in large part on final assessments of what caused each accident.
Both planes flew with erratic altitude changes that could indicate the pilots struggled to control the aircraft.
"The Boeing 737 Max accounted for six per cent of Air Canada's total flying, but there is a domino effect from removing the 737s from our fleet that impacts the schedule and ultimately will impact some customers", Air Canada executive vice-president Lucie Guillemette said in a statement.
The software upgrade will limit the operation of the Maneuvering Characteristics Augmentation System, or MCAS, the BBC reported.
President Donald Trump said on March 13 his administration was ordering the grounding of all Max 8 and 9 models, hours after Canada said it was grounding the planes after analyzing new satellite tracking data.
"We certainly can not buy this model-it's an issue of safety, not trade", said He Weiwen, a former Chinese diplomat, in a new report carried by the Financial Times on 16 March.
Shares of Boeing dropped another 1.8 percent on Monday to $372.28.
The Seattle Times said the company's safety analysis of the MCAS system had crucial flaws, including understating power.
Boeing and the FAA declined to comment on that.
The company is also facing a logistical dilemma: where to store the 737 MAX aircraft it continues to produce?