Local media said the envoy was Gong Qinggai, deputy director of China's Taiwan Affairs Office, who flew to Taipei to deliver the invitation.
The foreign ministry said special envoys had been sent in the past to Taiwan to deliver invitations to meetings of the Asia Pacific Economic Cooperation forum.
Ministry spokeswoman Anna Kao did not name the envoy. And President Ma Ying-jeou's office declined to say who from Taiwan would attend the summit.
President Ma voiced the hope again last week.
Also Read
China responded coolly, fearing any such leaders' meeting at an international forum could give the impression Beijing recognises the island as an independent state.
Taiwanese leaders in the past were barred from APEC summits due to objections from China, which regards the island as part of its territory. Taiwan was represented by senior economic advisers or business leaders.
This was seen as a reflection of warming ties between Taipei and Beijing, following the election of the China-friendly Ma earlier that year. Ma was re-elected in 2012.
China still considers Taiwan part of its territory awaiting reunification, by force if necessary. The island has ruled itself since splitting from the mainland in 1949 at the end of a civil war.