Glumche Island (Bulgarian: остров Глумче, romanized: ostrov Glumche, IPA: [ˈɔstrov ˈɡɫumt͡ʃɛ]) is the rocky island off the northwest coast of Low Island in the South Shetland Islands extending 470 m in east–west direction and 290 m wide.

The feature is named after the settlement of Glumche in Southeastern Bulgaria.

Glumche Island is located 830 m west-southwest of Cape Wallace and 1.08 km north of Fernandez Point. British mapping in 2009.

• South Shetland Islands: Smith and Low Islands. Scale 1:150000 topographic map No. 13677. British Antarctic Survey, 2009
• Antarctic Digital Database (ADD). Scale 1:250000 topographic map of Antarctica. Scientific Committee on Antarctic Research (SCAR). Since 1993, regularly upgraded and updated

• Glumche Island. SCAR Composite Antarctic Gazetteer.
• Bulgarian Antarctic Gazetteer. Antarctic Place-names Commission. (details in Bulgarian, basic data in English)

• Glumche Island. Copernix satellite image

This article includes information from the Antarctic Place-names Commission of Bulgaria which is used with permission.