The 16-storey dormitory, which belongs to one of Russia's top medical schools, caught fire late last night, leaving a total of 43 people in need of medical attention.
Of the 43, 36 were still in hospital as of this morning with 21 of them in "critical condition", a spokeswoman for the city of Moscow told AFP.
"According to preliminary information, all of the injured are foreigners," she added.
The dormitory belongs to the Pirogov Russian National Research Medical University, one of the country's oldest medical schools.