Edson and Natalie Diaz-Fuentes are attempting to raise £40,000 by the beginning of June in order to reopen their restaurant Santo Remedio.
The Mexican restaurant opened in Shoreditch, London, in early 2016, receiving good reviews from critics.
Giles Coren of the Times praised the restaurant's "great vibes, great people, great space, great food" while Grace Dent dubbed the restaurant as "ground breaking" in the Evening Standard.
However, it was forced to close seven months later in August 2016 for unknown reasons.
A statement on the KickStarter website said: "Our time in that space was shortlived, but the support we have had since we closed has spurred us on to find a new location to open Santo Remedio as a restaurant once again in a new permanent spot!"
The restaurant is expected to open in a Zone 1 location. It will require some "work and modifications" but should be able to seat more covers.
According to the KickStarter, half of the £40,000 raised will go towards building the prep kitchen and the purchase of a 20 grid Rational oven, and extraction hood which will allow the chefs to slow braise meats to create dishes such as a 12-hour slow smoked ox tongue.
The other half will enable the duo to build an open kitchen for guests to sit at and watch the chefs prepare dishes in front of them.
Rewards in exchange for donations include: a plate of tacos with house made salsa and chips with a side; a classic Mexican apron produced specially for the campaign; a meal for two; tickets to the opening party; cooking classes and a culinary trip to Mexico.
See the campaign here.
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