Saudi Arabia's Oil Minister Ali al-Naimi and the company had earlier said that the fire, which broke out just after midnight Saturday during maintenance work, killed 28 people and that 12 others were missing.
The fire occurred about 30 kilometers (19 miles) from Aramco's Hawiyah gas plant. Aramco said earlier that five of its employees were among the killed. There were no other information about the other workers.
On Tuesday, company officials speaking on condition of anonymity because they are not authorized to speak to the media, said six Saudi nationals were among the dead and that the others were from different Asian nationalities.
They said investigation teams recovered seven bodies from the site Monday.
Saudi newspapers reported Tuesday that the force of the explosion had thrown some of the bodies to about 130 meters (yards) away from the blast site and that some of the corpses were completely charred, making it very difficult for forensic experts to identify the deceased.
Aramco is the world's largest oil producer, located on the country's east coast. The Hawiyah plant produces 310,000 barrels of ethane and NGL daily.
Representatives of the Israeli Defence Ministry responded to recent reports about the possible delivery of S-300 SAM systems from Russia to Syria. Israeli Defence Minister Avigdor Lieberman said that Israel would destroy those systems
Russia is to start supplying S-300 air defence systems to Syria in the near future. The shipments will be conducted free of charge