(CNN) Boeing said Thursday it has finished the development of a software fix to its troubled 737 Max.

The plane maker said in a statement it has flown the aircraft with the updated software on 207 flights for more than 360 hours.

The software heads next to the US Federal Aviation Administration and its counterparts in other countries that want to review it. An FAA spokesman said Thursday afternoon the Boeing materials, including the software, have not yet been submitted.

"We're committed to providing the FAA and global regulators all the information they need, and to getting it right. We're making clear and steady progress and are confident that the 737 Max with updated MCAS software will be one of the safest airplanes ever to fly," Boeing CEO Dennis Muilenburg said in the statement.

The submission comes ahead of an international gathering of aviation regulators in Dallas next week to discuss the reviews of the Max.

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