I am going to introduce a famous restaurant which is located in the heart of Singapore, Bugis. It is called Hjh (Ha-jjah) Maimunah.
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I would like to recommend a Hawker centre to you, Timbre+, which is known only by locals.
If you are looking for some Korean BBQ restaurants in Singapore, Don Dae Bak, a traditional Korean Charcoal Grill restaurant, is highly recommended.
In Singapore, there is one store we would like to recommend you where you can have Persian cuisine. It is called Shiraz Mazzeh