Cobram along with the nearby towns of Numurkah and Yarrawonga is part of Shire of Moira and is the administrative centre of the council.

[3] Aboriginals, although they had disappeared from the area prior to European settlement, were believed to inhabit the stretch of region bound by the Murray River from Tocumwal to the east of Cobram and south as far as the Broken Creek.

A 'horde', or smaller grouping of about 100 persons, named Angootheraban, are believed to have lived in the immediate Cobram area.

[7] By the 1860s, present day Cobram still hadn't begun to exist, and the area was still broadly referred to as Yarroweyah.

[13] A river punt began operating between Cobram and the New South Wales banks the following year.

[15] Cobram township was finally proclaimed by John Fuller, Governor of Victoria, on 2 December 1912.

It also has a district hospital, built in 1949 with emergency department and an associated nursing home for the elderly.

A large sports stadium is located adjacent to the Anglican College and Cobram Showgrounds, with numerous soccer fields, netball and tennis courts outside, along with indoor basketball, badminton, volleyball, tennis and netball courts.

[27] A fire destroyed the cinema and caused damage to surrounding shops on 10 April 2010 and it was demolished the following day.

Murray Goulburn, along with the Meiji Dairy Corporation milk processing plant, a large abattoir and orange juice factories form the major industries of the town as well as serving as major employers.

Cobram is home to a large Muslim community of mainly Iraqi origin which continues to grow quickly,[32] along with Italians who migrated in the post-war boom, and began a thriving fruit industry.

[33] Smaller towns located nearby include Strathmerton, home of a large Bega cheese processing plant, Yarroweyah, Katamatite, Katunga, Koonoomoo and the larger towns of Yarrawonga on the Victorian side and Tocumwal on the New South Wales side.

Murray Heights is the name given to the estate of relatively recent residential area that runs along the sand hills of River Road on the town's eastern edge.

[35] Cobram Roar[36] is a soccer club formed in 2014 which participates in the Albury Wodonga Football Association.

Cobram only receives 79.4 precipitation days annually, with a maximum frequency of rain in winter.

[42] All climate data was sourced from Tocumwal Airport, situated 11.2 km (7.0 mi) north of Cobram.

[44] Other landmarks include the settlers' log cabin, war memorial and civic centre.

Cobram Station, built from 1905 to 1907, is a large homestead located east of the town on the Murray Valley Highway.