Converse is a city in Bexar County, Texas, United States, 15 miles northeast of downtown San Antonio. As of the 2010 census it had a population 18,198. It is part of the San Antonio Metropolitan Statistical Area.In 2017, Converse proposed the annexation of twelve square miles of territory near Randolph Air Force Base in northeastern Bexar County. Several large commercial areas are included in the annexation. The additional land would be taken in a series of phased expansions until the year 2033. Once completed, the area of Converse would triple in size. Municipal services would become available to an often neglected part of the county. The San Antonio City Council has unanimously approved the annexation; now the measure goes before the Converse City Council and the county commissioners.