There is the areas around Balestier that side:
http://www.moulmein.org.sg/index.php/history.html
History
The name
Moulmein is derived from a city in Burma. Many streets in Moulmein
have been named after towns, places and rivers in Burma. It is said
that the Burmese street names in the vicinity of Balestier,
resulted from the wish of an important Burmese resident. Burma, now
called Myanmar, was a part of the British Empire at the time.
Examples of these streets are Akyab Road,
Bhamo Road, Irrawaddy Road,
Mandalay Road, Martaban Road,
Minbu Road, Moulmein Road,
Pegu Road, Prome Road,
Rangoon Road and Shan
Road.
There is also the Burmese temple there:
http://www.moulmein.org.sg/index.php/landmarks.html
Moulmein
is well known for its temples. In Tai Gin Road, there is a
beautiful Burmese Buddhist Temple which was officially opened in
1991. This temple has now become another attraction in Moulmein,
popular with devotees and tourists alike.
and Ava Road.