Usagui is a very reasonably-priced authentic Japanese restaurant. Much the best in the city, as evidenced by the numbers of Japanese that throng there on the weekends. It does not do Mexican/Japanese food, like some of the cheaper neighbourhood 'puestos' do, but the real deal. Closed Mondays.
The British owner/chef at Brasserie serves delicious, reasonably-priced Mediterranean food in an atmospheric old house with a beautiful terrace. A leisurely mojito recommended while you soak up the ambience. Open only Weds/Thurs/Fri for lunch & dinner.
Usagui: Manuel Acuña, 1&1/2 blocks from Avenida Americas, Colonia Sta. Teresita. Look for the big yellow rabbit on the right.
Brasserie: Priscilliano Sanchez #1171, immediately on the right hand side of the road triangle. Zona: Chapultepec/Centro.
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