Yonhap news reported that Korea Gymnastics Association (KGA) officials will meet their North Korean counterparts and consider the proposal at the Oct. 25-Nov. 3 event in Doha.
Last week, the Koreas said they had agreed to pursue a bid to co-host the 2032 Summer Olympics, following a summit between North Korean leader Kim Jong Un and South Korean President Moon Jae-in in Pyongyang.
The International Gymnastics Federation (FIG) was also keen to help sports exchanges between the neighbours, according to the report.
"A FIG executive meeting will be held in Pyongyang next January," Yonhap quoted an unnamed KGA official as saying. "North Korea's participation in the Korea Cup and their supporting plans could be discussed."
In a bid to ease tensions on the Korean peninsula, a unified team competed at this year's Winter Olympic Games in Pyeongchang and the two nations also fielded joint teams under a common flag at the Asian Games in Jakarta and Palembang.
(Reporting by Sudipto Ganguly in Mumbai; Editing by John O'Brien)