A spokesman for the Tibetan government-in-exile, Thubten Samphel, said Monday they are encouraged that contacts with the Chinese have resumed.
However, Chinese state media said Monday that Beijing officials told the envoys during talks last week there will be no compromise on China's sovereignty over Tibet.
The official Xinhua news agency quoted Du Qinglin, head of a department in charge of the talks, that there is no room for discussion, and no concessions will be made on autonomy for Tibet.
Du said that while the Dalai Lama continued such activities, "there can be no progress in any contacts or discussions" with the envoys of the exiled Buddhist leader.
Beijing has become increasingly irate over the Dalai Lama's international travels and meetings with foreign political leaders. He may meet U.S. President Barack Obama in this month.
The Xinhua article said the Dalai Lama's private envoys, Lodi Gyari and Keisang Gyaltsen, expressed their opinions on the relevant issues.
The Dalai Lama's envoys, Lodi Gyari and Kelsang Gyaltsen, returned to India early Monday after meeting officials in Beijing over the weekend, according to Chhime R. Chhoekyapa, the Dalai Lama's secretary.
Details about the discussions from the Tibetan delegation were not immediately available. After arriving in the Indian capital, the two envoys were expected to go to the northern Indian hill town of Dharmsala to brief the Tibetan prime minister-in-exile, Samdhong Rinpoche, on the talks, he said.
Some information for this report was provided by AP, AFP and Reuters.