Dundee is a city in Nobles County, Minnesota, United States. The population was 73 at the 2020 census. According to the United Stateā¦Dundee is a city in Nobles County, Minnesota, United States. The population was 73 at the 2020 census. According to the United States Census Bureau, the city has a total area of 0.31 square miles, all land. Dundee is located in the extreme northeastern corner of Nobles County. The Murray County line defines Dundee's northern border, and the Jackson County line defines its eastern border.