The fatality was caused during a riot at the Al Shemaisi center in the Red Sea city of Jeddah, the National, an English-language daily newspaper published in Abu Dhabi, reported on Monday.
The deportations are part of a Saudi campaign to expel undocumented foreign workers.
The Saudi government, grappling with high unemployment, now wants those jobs for the kingdom’s citizens, the paper said.
Human Rights Watch has said that Saudi Arabia has deported more than 12,000 people to conflict-ridden Somalia since the beginning of 2014.
In a report last month, the rights organization urged Riyadh to end the summary deportations and honor its international obligations of protecting refugees.
Since early November 2013, Saudi authorities have launched a visa crackdown on undocumented foreign workers, killing several people and imprisoning many others.
Riyadh has announced plans to create jobs for Saudi nationals by reducing the number of foreign workers, who total some nine million people.
Hundreds of thousands of workers have already left Saudi Arabia amid tough conditions for migrants.
