Story highlights A young woman has set herself on fire at a center for asylum seekers on the island of Nauru

It is the second self-immolation incident at the facility in a week

(CNN) A 21-year-old Somali asylum seeker has set herself on fire at an Australian offshore processing center on the pacific island of Nauru, less than a week after refugee advocates say she was forcibly sent back there.

The woman, named by refugee advocates as Hodan Yasin, is currently in a critical condition, according to Australian Immigration Minister Peter Dutton. She has been transferred to Australia for medical treatment.

Hodan Yasin suffered critical injuries.

On Sunday, another refugee, named as Omid, died in an Australian hospital after setting himself alight on Nauru two days earlier in the presence of United Nations officials.

Critics say the self-immolations reflect the desperation of refugees living under Australia's controversial immigration policy.

Asylum seekers who arrive on Australian shores by boat are told they will never settle in the country, and are transferred to remote processing centers on the pacific islands on Nauru and Papua New Guinea.

Read More