"China's new leaders must resume dialogue with the Dalai Lama Lama aimed at finding a lasting solution to the issue of Tibet," Ms Barbara Lochbihler, chair of the Human Rights Subcommittee of the European Parliament told reporters in Germany.
Ms Lochbihler also criticised the Chinese government over the deteriorating human rights situation in Tibet. She said there should be a systematic change in the annual EU-China human rights dialogue to make it more result-oriented.
Ms Lochbihler's comments came 3 days after the United Nations High Commissioner for Human Rights, Navi Pillay urged China to address the longstanding grievances in Tibet, including self-immolations.
The UN human rights chief said she was disturbed by "continuing allegations of violence against Tibetans seeking to exercise their fundamental human rights of freedom of expression.
In last month, the US government urged the Chinese authorities to address the underlying policies that are pushing Tibetans in Tibet to burn themselves to death.
"The situation is Tibet continues to remain grim as more than 63 Tibetans have self-immolated since 2009 in protest against the Chinese government's repressive rule," Tibetan official media; Tibet Net stated.
"The self-immolators have called for freedom for Tibetans and the return of His Holiness the Dalai Lama. The Central Tibetan Administration has repeatedly appealed to the Tibetans inside Tibet not to take drastic actions," it added.