Six Tibetans set themselves alight in Aba county in Sichuan province, where many self-immolations have taken place in recent months, overseas Tibetan groups said.
As five more people immolated themselves in Tibet, the Tibetan Parliament-in-exile asked China to discuss the spate of self-immolation protests.
In a bid to strengthen their fight for Tibet, Tibetans living in exile in India have demanded the right to vote and also contest polls.
A member of Tibetan Parliament-in-exile said the Tibetans are struggling for international attention against Chinese oppression.
Tibetan Prime Minister-in-Exile Lobsang Sangay expressed hope that Dalai Lama will return to Lhasa during his lifetime.
Two Tibetans set themselves afire in the Yushu Tibetan region in northwest China and one of them died later.
China has branded the self-immolators "terrorists" and criminals and has blamed exiled Tibetans and the Dalai Lama for inciting them.
Thirty-two people have set themselves on fire in Tibetan areas over the past year to draw attention to China’s restrictions on Buddhism.
The conditions of the two monks were not known after the simultaneous immolations on Friday in Maerkang, Free Tibet said.
The Tibetan Parliament-in-exile has passed a resolution that highlights the grim situation within Tibet.
So far nearly 30 Tibetans, mostly monks, have attempted self immolations in Sichuan and other areas.
Close to 30 Tibetans have set themselves ablaze during the past 12 months to protest against Chinese rule.
Nepal is home to 20,000 Tibetans who have been living there since fleeing with the Dalai Lama in 1959.
Nangdrol self-immolated in Sichuan province after shouting slogans in favour of Tibetan independence and the Dalai Lama.
Tibetans and Chinese authorities have been caught in a cycle of protest and repression over the past year.
Tamchoe Sangpo set himself alight after he unsuccessfully tried to persuade Chinese forces to leave his monastery.
HRW believed it was the first time since the late 1970s authorities had detained Tibetan laypeople in such large numbers.
Liu Zuoming was appointed as Communist Party secretary of Sichuan province`s Aba region over the weekend.
More than a dozen monks, nuns and ordinary Tibetans have set themselves on fire over the past year.
Officials in the Tibet Autonomous Region have been ordered to ready themselves for a war against secessionist sabotage.
Day in Pics: 28th January
Showbiz World - January 28, 2015
President Barack Obama's speech at Siri Fort auditorium